Awesome strategy I found: Use the ship you get for beating the game, but never upgrade your main weapons. Dump all scrap into that beam that comes with it, shield and engine. I got to Sector 8 on normal with this strategy, but had some bad luck and died. I was convinced I'd beat the game.
I unlocked the B variant of that ship and it seems even better suited to that playstyle. The beam comes already at level 2, and you get a zoltan crew man. I have a feeling this strategy will be the one I beat the game with.