I have a 225 bare bottom FO that I struggled with some hair algae for a while with. I tried everything including aggressive cleaning, water changes, detritus removal, etc.. It was only after I went after one of the three necessary components (light, nitrates, phosphates) with GFO that I cured the problem.
I still do all of the other important maintenance items and I have learned to control the nitrates better in that system with media in a mechanical filter, but the attack on the phosphates was the key.
You need light to enjoy the aquarium and you are always going to have some nitrates in the water in an FO. It just seems phosphate reduction was easiest.