I grow Ulva, Gracillaria Hagi, and Red Agar. I have an extremely difficult time growing Ulva in my tank simply because EVERYTHING eats it. Crabs, snails, down to little pods...not to mention my fish. It just does not grow fast enough. The red Agar is almost that bad, but thankfully it grows quickly slightly faster than everything eating it. Hagi is somewhat calcerous, so not much eats it (but some larger fish will).
Macroalgae like Halimeda, "shaving brush", and "mermaid's fan" should all be fine for your application. I'd avoid algae like Caulerpa as it will quickly take over your tank.