Agree with Megas on this one. With that many bombers, your destroyers/cruisers have a high chance of being overwhelmed no matter what.
Deploying the Conquest alone is probably the safest strategy here, it's fast enough to keep the Piranhas at bays and dodge/intercept the Daggers. The tricky part will be to manage the shield to avoid being overloaded by the Broadswords and flamed-out by the Thunders. Depending on your loadout, you should be able to take down the first wave before the arrival of the bombers.
No need to force a direct engagement with the Condors, you should have enough CR to beat them in an endurance fight. The fighters only have regular crewmen and shouldn't have too many replacement.
Ideally, this is what i would try to fight with:
Piranhas and Broadwords will saturate the screen with relatively harmless projectiles (bombs are too slow and swarmers too weak), which is why i picked Tac lasers over PD lasers.
Single flak have longer range and AOE than the dual version (also quite a bit cheaper), which is pretty good for the "offensive" side of the Conquest, in combo with the always good Mjolnir.
The other side is what you'll switch to when the enemy will engage you at close range. Four dual flaks will be more than enough to stop most projectiles and give you some breathing.
The twin charge launchers at the prow have huge AOE and sufficient burst damage to destroy entire fighters wings in an instant. Insta-kill on the whole fighter wings prevent them from being "resurrected" by the carrier (i don't know if it's bug, but it's a neat feature i think). And because of the long range, you can even start firing them even before seeing the enemy. Otherwise, you can still try the Locust srm launcher.
Swarmers on the sides if you're lazy, or two additional proximity charge launchers is also an option.