the omega was your only shot, the rest dont have the firepower. and spreading fighters out when up against 13 (15 in scotts fleet) seperate e-mine weapons doesnt really work.
basically you are relying on an omega that is actually outranged by gaim photon bombs anyway.
you are also lower init than the Gaim +2 versus their +3 so they usually get to pick the dogfights, oh and have their own fleet carrier plus around 4-5 times the number of auxilary craft.
the idea is right as you said to kill the queens for VPs, however with only one ship doing it and taking 2 turns to kill a queen this will take some time, and thats when skirmish queens, will take longer to kill the bigger one.
if going to use triggys tactics you need multiple beam ships with long range beams. in theory the psi-corps motherships would do ok with 5 of them as they have alot of damage even if hull 4 (cos photon bombs dont do crits) as they can crawl forward on CBD using 20AD of beams a turn and then launch the black omegas when gaim fighters get in range.