Something else that might help you is broadsiding. beam arrays in the game have a 250 degree firing arc which means a ship directly to you side can be hit with all your weapons, fore and aft. I'm guessing you have 3 beam arrays by now (hoping you got one as a loop drop in earlier missions), load em up, put your weapon power to maximum and try and keep the bioship on you flank. Embrace the circle of death with it...
Also, if you dont have 3 beam arrays yet drop me a message in game (@spacewolf21) and I'd be happy to craft you some
Likewise, if you need any kit, shoot me a mail in game (@belgevain) and I'll get it crafted and mailed back to you. Same goes for any fleet mates in need of gear!