After all this time, I managed to build up enough to fight back against some of those god damned drones!
Went in there with four ships each armed with armor 7 layers thick, and something like... 12x AMM launchers with 250ish missiles, and 5x ASM launchers with 60ish missiles. Weirdly, the (only three!) enemy ships never turned on their active sensors...they just locked onto my sensors and started firing away, denting my armor every once in a while when a stray missile went through. They came into active sensor range (30mkm) at around the same time I ran out of AMMs, and sadly their ECM meant that I couldn't even shoot at them...so in panic I killed my active sensors and dropped speed to like 500 km/s. Somehow it worked, they lost track of me, and I sneaked back home (apparently they flew away from me when they lost me, so I couldn't pop up and launch a ton of stuff at them). No casualties on either side.
...I refitted, upgraded my missile fire control with much longer range, and piled a bunch more AMMs on there. I'll see how this goes tomorrow. I still live in fear of what will happen when the star swarm wakes up and decides to throw a fit. Any tips on dealing with a fresh colony, once they pop out that queen? I've had a ship waiting around by the jump point out of their system so I can see when they do, but I have no idea what the hell I'll do then. Five billion missiles, I guess? I've got a series of agile short-range ASMs that I'm working on; I'm planning to make WH9s that have at least a 30% chance of hitting 10k km/s, but very short range, and send out a fleet of ships with three 20-res missile fire controls each (and a big pile of launchers, natch). Does that sound reasonable?