[Cheeze]

What about a combination of shield depleters, engine destroyers, apb's and repulser beams? Your ships can move in, break down shields, hit his engines and do a little extra damage. With heavy and up mount repulsers, even if he has supplies you'll limit the number of ships you're fighting. Wormhole weapons too, even though they could throw ships behind your front lines it would allow your approaching ships to attack someone, and the wormhole beams have a better range than repulsers

Also for short range (but they have a slow fire rate, those shield component destroyers)
If you have a basic game layout to run simulations on the empires, I'd give that a shot.