Notes

There are several flavors of weapons, but the classic Phasers ended up winning out. I wanted to use Plasma, but is a bit lacking in the current state of the game. Phasers have a lot of support for exceptionally strong weapons that are easy to obtain. I won't belabor the options, at the end of the day the flavor doesn't matter. However, the Excelsior II's console is Experimental Power Redirection, which does Phaser damage and is enhanced by choosing Phasers.

Advanced Phasers are great, but out of budget. In Lieu of Advanced Phasers, there's a great selection of Reputation and mission reward phasers. Since I wanted to have a forward firing arc, I have to use a mix of Omni Beams and Turrets in the rear. I tried using a beam in the rear, and the mixing of firing arcs was a significant piloting challenge as well as DPS loss.

Of the forward facing weapons that are not DHCs, Wide Angle Dual Heavy Beam Bank is the top of the list. If I was using ERL or RRTW, it would not be a good choice as it does not benefit from the haste. Combined with the 2pc set from the console, this is probably my best weapon.

The next slot is the Teran Phaser Beam, which hits, on average, as hard as a DBB due to its scaling as the target hull drops. Doesn't afford us any set bonuses of note, but is a strong weapon on its own.

The Prolonged Engagement Phaser beam is often the next beam of choice, however when you dig into it, I have the firing arc to go to a Dual Beam Bank. There's nothing special you can slot for a Phaser DBB that we don't already have, so I went with an Agony DBB I had lying around. It's a small chance for some extra damage, versus the normal phaser's miniscule chance to disable a subsystem.

There's one other weapon we could use here, and that's the Wide Arc Phase Cannons which don't have a ship restriction. However, since we are using a Beam enhancement mode, these cost us some damage overall and cost a steep 200 lobi, not to mention we won't be picking up the 3pc set.

Leaving the torp for later, we have 4 rear energy weapons to fill out. Omni beams are the best since they get the best enhancement, so we start with those. "Set" and "Non Set" Omnis each limit you to one choice. 

The best phaser "Set" omni is either the Trilithium omni or Gamma Reputation omni. I would choose the Gamma rep since the Trilithium wouldn't be getting a 2pc for the constant 5% haste (an Isomag beats the socks off of a Reinforced Armaments). The Gamma weapons' gimmick is that it applies a -DRR to targets slower than you, which last I checked is everything but a few Hurq ships. It's not a chance roll either. However, the new Pahvan Proton omni is very strong on multi-target firing modes since it rolls a 33% chance per shot fired to do damage in a small AoE. This means on a Beam Overload build, we are rolling twice per 5 seconds, but on a FAW build, we are rolling 10 times! This makes it a strong damage source even without +Proton elsewhere in the build. We do have plenty of +Energy and +All, so it works out well. 

When we get to non-Set Omnis, we have R&D's vanilla Phaser Omni or outrageously expensive lockbox flavor omni options. Since the only difference between these is the 1 in 40 cycles proc, I went with the R&D flavor. 

Sadly, no Breen Omni (it got patched) or Kinetic Cutting Beam (it doesn't use firing modes), we are stuck with Turrets. When it comes to Phaser turrets, we have a few similar options to Omni beams, such as Trilithium and Gamma Rep. Same justification as the omni, I picked up the Gamma Rep turret; yes you can slot both turret and omni if you aren't using the Pahvan omni.

For our last turret, I also want to loop in the desire for a torpedo up front. Aiming for a "Plasma" torpedo to hail back to Starfleet Command's Bismark class, I originally went full Plasma damage on this ship which got a Plasma Altamid torp. However, a good friend pointed out that a Bio-molecular torpedo looks rather green and plasma torp-like under High Yield. This torp happens to also have a strong 2pc set with a Heavy Phaser Turret. As such, the Enhanced Bio-molecular Photon Torpedo looks great and does well up front, and the Heavy Bio-molecular Phaser Turret does well in the back.

Also as a bonus, all of these reputation weapons that I use come at Ultra Rare Mk XIII and have 2% bonus damage which often edges them out over any lockbox flavors. Set bonuses help many to be even stronger as well.

LINK TO CALCULATOR

Notes

I won't spend much time here - this build is as meta as it comes, we aren't after any special interactions with the gear choices and each piece is standalone. 

Deflector is used on just about every damage-dealing build, with maybe the exception of a tank. Since our team composition will more than likely have a tank, we won't take a ton of damage to cut into the CrtH/CrtD bonuses from ColCrit. 

The Impulse Engines can be one of several, but I chose the extra damage type. Romulan engines have a built-in Weapon Amplification bonus, which ends up giving about 12.76% CrtD with weapons. If I needed more survivability, I could choose the Discovery Reputation engines to go with the shield or core for extra Hull Regen. If I needed more maneuverability, I could use the Competitive Reputation engines to get a burst of speed, but with an Emergency Conn Officer, I simply don't need it. A ship this heavy (aka inertia) would also tend to powerslide out of the Competitive engines anyways. 

The Shields have a few options, but tend to go for the Tilly's (Discovery Reputation) shields as they increase shield bleedthrough. I went with the Revolutionary shields since they have some passive Cat1

Warp core tends to fill set bonuses, but in my case, I wanted the weapon power cost reduction and Power Transfer Rate of a Spire core. 

Targeting Lock and Energy Amplifier batteries are fine, but Advanced versions are strictly better and since we run a lot of elites, we get a lot of Loops needed for crafting. 

Deuterium Surplus is also a cheap slot, and serves as a backup evasive maneuvers if needed. 

Kobyashi Maru is some free buffs, but please don't get this from Mudd's market, its too low-impact. 

We could slot our Delta Reinforcements or Nimbus Distress Call here, but these work from your inventory so no need to take up a device slot. With 5 device slots, what is left that I can slot? Satellite Turrets are awful damage, but there is no opportunity cost here. More batteries would go unused as 2 batteries cycle perfectly for maximum uptime. Red Matter Capacitor just gives a little power every 5 minutes. Satellite Turrets are also very cheap and easy to obtain, so until there's a better 5th Device, I'll use these for the extra 1k DPS they provide.

Notes

I won't go into the details on why Isomags are better than Locators or Exploiters. This ship is also a Miracle Worker primary ship, so it has three Universal Console slots at T6X2 plus 5 Engineering slots. Due to math that has already been done, we have more Isomag slots than Locator slots, so Isomags win out. We fill out all 8 available slots with them, use [Phaser] mods for the weapons we have, and fill the rest with basic consoles. 

I used TRINITY heavily for deciding what consoles to bring along. I started by slotting 8 Isomags, and filled the remaining 4 Tactical slots with beam Bellums. This gave me a baseline to work off of. I started filling the Science seats with two consoles I assumed would be best-in-slot regardless: DOMINO and DPRM. Both of these have passive +Phaser or +Energy. Both have lots of additional damage for clickies. Both of them I had obtained a long time ago. If you don't have either of these, they are extremely expensive now. DOMINO requires an Epic Phoenix token per character, while I have the event unlock from 2018. DPRM requires a Lockbox ship (since I am a Federation character) usually selling for around 1.5 billion Energy Credits on the exchange. I picked mine up in a different era when grinding EC was easier and the Atlas was only 600 million EC. 

This fills up our console slots. But why isn't my build using any Bellums? Remember, I had all of this added into TRINITY, and as such, I saved a baseline with 8 Isomags, DPRM, DOMINO, and 4 Bellums. Then, I went through several prime candidates for consoles that might out-parse a Bellum. Bellums also only apply to 5 of 7 of my weapons, as one is a torp and two are turrets. This makes +Phaser stronger even at the same or smaller amount of value since it applies to 6 of 8 weapons, as well as any other abilities that generate Phaser damage. 

Lorca's console was an easy slot, as I already had it for other builds and had the Phaser DBB in the front for the additional 2pc. The console gives Shield Pen, and CrtH, while the 2pc also gives CrtD. This blows away any amount of Cat1 from a Bellum, and applies both CrtH and CrtD to every ability I have. The Shield Pen also benefits all 8 weapons. Every time I replace a Bellum, I save a new "baseline" to see if additional changes are better or worse. 

Ordnance Accelerator would also be a good option since we have one piece of the set already equipped on the ship. While this has no CrtD or CrtH, it does have 25% Cat1 Phaser, +10% Cat1 Phaser for the 2pc, and 25% Projectile damage. This means that it applies to all 8 of our weapons, and a few extra peripherals. 

Approaching Agony would seem to be another good choice, with passive CrtH and +Phaser. However, the magnitude of both of these is lower than a Bellum by a lot. We could take the clicky into account, however it is tough to justify on this build, especially as a lot of Supports pick up this console for the -DRR. This one did not make the cut. 

Point Defense Bombardment Warhead may not seem like a great option, but there's several things in play. First of all, the ship it comes from can be obtained for Energy Credits. Mine happened to be graciously given by a friend of mine. You can also spend Lobi or get it off of the Legendary NX. Regardless of how you obtain it, it also comes with Preferential Targeting (Starship Trait) which is a solid trait for a Beam Overload build, which is used as an alternate build for this ship. The console boosts our torp with 25% Cat1, and all of our damage with 1% CrtH. This alone doesn't beat out a Bellum, but the 2pc adds 33% Phaser damage. This alone beats out a Bellum. We do get some damage from the clicky as well, I got 18k from it on my record run. All of these things work together to make this replace a Bellum console. 

We have one slot left, and at this point, I wanted to find something to replace the Bellum on the merit of having no Bellums at all. The Tactical Maneuvering Matrix comes with the Legendary Excelsior, as well as the Resolute. It's mostly a weaker DPRM, and doesn't have great passives for our setup. While the active is really strong, the lack of beneficial passives means we can find something else. It ends up being just a little weaker than a Bellum. 

This seems rather excessive, but I wanted to pick up the Excelsior II anyways because reasons. As such, my event campaign reward was already earmarked for an Excelsior II. The console that comes with it has great passives with +Energy and Weapon Amplification. The clicky is harder to evaluate, but does damage on its own as well as a weird mix of FAW and BO for your energy weapons. I did the best I could to evaluate how much this would benefit my build, and it narrowly edged out a Bellum on paper. On my record parse, it contributed about 40k on its own damage! This doesn't even count the passives. I was pleasantly surprised, not to mention it is a fun to use console and comes from an Excelsior. 

Notes

I am sure I could spring for a pile of Superior Romulan Operatives, but that gets expensive. I went with what I had handy. 

Commander Engineering/Miracle Worker

Since we have two dedicated Engineering seats, and each shares seats with the specialists, we can go with higher-rank specialist powers and slightly lower rank engineering powers to fill out the seats. Obviously, engineering powers are interchangeable between the two seats. Energy builds and Miracle Worker are known for picking up Mixed Armaments Synergy and Narrow Sensor Bands. With this being an Engineering seat, Directed Energy Modulation is the best option at Commander, and MAS3 easily beats that. Emergency Power to Weapons 3 is the best option at LtC, and NSB3 really isn't as strong in general, so we stick with EPTW3. Since our cooldowns are handled, I like to have the quick cycling heal and resist of Aux to SIF at the LtC seat. Finally, the last slot is filler and I went with Narrow Sensor Bands, although Endothermic Inhibitor Beam and Let It Go are also good options. 

Lt. Commander Engineering/Pilot

Even before the Pilot Rework, Fly Her Apart was a solid damage bonus. Coupled with Boimler, we can have nearly 100% uptime if you fly right. I take this at the highest rank. Clean Getaway is a quick cycling Unconventional Systems trigger. The last seat is filled out with EPTE1 for the merit it has to maneuverability.  

Lt. Commander Tactical & Ensign Universal (Tactical)

Fire at Will is our firing mode of choice, so we simply start with this at the highest rank we can: Rank 3. Attack Pattern Beta buffs outgoing weapon damage, as well as being a trigger for Dal R'El.. The ensign tactical power is Torpedo Spread as it is higher damage on a non-torper than High Yield, but also as a trigger for the second half of Fire at Will uptime. Kemocite Laced Weaponry 1 is often used for its -DRR, damage, and ensign filler. 

Lieutenant Science

Photonic Officer 1 is our reliable cooldowns when Boimler just has a bad day, and Hazard Emitters is a reliable Heal over Time to counteract Fly Her Apart, as well as cleanse any hazard debuffs. Tractor Beam is what we ended up with for an Unconventional Systems trigger, but if you need the survivability, stick to Hazard Emitters. 

Meta-Focused Tweaks:

I think we have all the meta personal traits. There might be a few lockbox ships with traits that could replace Improved Critical Systems, but you'd be hard-pressed to replace the other 6.

Budget Tweaks:

The last trait I would replace would be Boimler without significant build changes to compensate for the cooldowns it provides. The rest of the lockbox traits can be replaced with free traits, but it all depends on the budget. You won't even have this ship on a budget. Thunder Run is probably the most Extra trait on this build, but the others are just about required. CBTS, SCW, EWC are used on any energy build, ICS is a good generalist trait, and ETM is the extender for FAW.

Miscellaneous