On that game my power was distributed nowhere as everything was on fire!! I had a decent amount of shields and obviously loads of weapons but it just wasn't happening. I had another stab at it with the red tail the other and managed it, I forget what I used though.
I've just finished it with the Zoltan Adjudicator on easy. That ship is hard work, way too easy to get hammered if you get boarded or if things catch fire. I lost several times in the first couple of sectors. This time I got incredibly lucky and picked up a Burst Laser 3 in literally the first fight - they offered to surrender, which I usually ignore, but they were offering me that so obviously I took it. I didn't actually end up using it for a while as I didn't have the power for it. I also picked up a second Halberd Beam, so for a time I was using two of them which was quite effective, but by the end it was ion blast, BL3 and Halberd. I got a bit battered in the first round of the flagship, but I don't think I took a hit in the second and third rounds. My evasion was way up and I had four shields, so it was pretty easy by then. I had a teleporter so I could get over and knock out the weapons bays, though my crew was 6 Zoltans and 2 Engis, so I was sending the Engis over. I'm not sure whether I'd have been better off sending the Zoltans, thinking about it, as while their health is 30% lower the Engi damage is 50% lower, but I was using the Zoltans to power a bunch of stuff as it was so it made sense for them to stay.