So now I can start blasting away without worry, I had 3 shields and 48% evasion. Now boarding drones always cause me havoc, so my plan was to kill the crew except for the one in the laser room then board in the next phase and destroy the drone room. But I blew up the ship before I could do that.
So now I must take out the drones right away with my fire bombs since they charge faster, but I still wanted to kill the crew. So weaken the guys who go to put the fire out then finish them in the med bay with more fire? Sounded good to me. I fired a fire bomb into the drone room to get a bunch of attention there. Once 3 people were there I fired the pegasus and nearly killed all three of them. They ran to the med bay which was being set on fire as they entered, then hit with rockets. For some reason the AI thought "screw it, get the drone room fixed" and sent all 3 badly injured guys back to the drone room and the other two who are now injured who took their spot there to the medbay (brilliant).
I shoot a pegasus into the drone room again and kill those 3 and another fire bomb to the med bay to kill them. They just ran back to there posts though, and let the fire go. I sat and watched the ship burn, it was beautiful. If it wasn't for the O2 room being destroyed by the flames the entire ship would've been on fire! The guy in the engine room burned, and his friends thought they were saved when the flames died. But the flames died from lack of O2, and so did the crew

The AI takes over and I finish the ship off. It jumps away.
In the final stage I take out it's special shield and start again. Board the rocket room, pegasus the cockpit, and burn the rest

I did have to use rockets and my drone though, since the fire could only burn so much damage

I've only won 4 times (twice now with engi type A), but that was by far the most satisfying way to kill that ship.