I haven't tried the Hegemony fleets yet as I want to be friendly with them this game. Against the TT big fleets I can win handily with only a few fighter losses (most of the time):
1 Hammerhead (I fly it - no missiles- either 2 HM, or 1 HM one needler or HVD)
1 Venture (flaks, missiles, heavy blaster, heavy armor)
1 Eagle (3 gravs, 2 autocannons, 1 Heavy mauler, no missiles)
2 Broadswords
3 Wasps
3 Piranhas - I rarely use more than 2 strikes, but man do they help against Capital ships. ~3 CP per battle
(a little under the hangar limit)
Total: ~75 FP
Its a very balanced fleet thats highly synergistic - I've taken out the triple capital ship formations (Paragon, Odyssey, Astral) with support fighters, frigates, and medusas. I find the key is to not rush for capping the far points because the enemy will often overwhelm single fighters. The Eagle has suddenly turned into a very nice ship of the line, although it has a habit of trying to solo Paragons. Using the Hammerhead to flank and pound enemies whose shields are brought down by the Eagle or Broadswords is incredibly effective. Multiple capital ships is hard because it takes a long time for the bombers to reload: another Venture would be awesome. Letting the Venture get in close and help is key - the thing is capital ship armor so can take a pounding. My losses almost entirely come from taking down the Paragon in the end - man those things are deadly to fighters!
I think it would work very nicely against the Hegemony as well due to the bombers, but I could be wrong. I would adjust the Eagle loadout to more HE though.
Midline all the way! Woooo!