Even your grazers will stop eating the hair algae if they're being fed enough from other sources. I had a starry blenny that went after hair algae, but barely put a dent in the problem...he definitely preferred film algae and mysis.
Foxfaces and yellow tangs seem to be preferred for hair algae if you're looking at fish; bristletooth tangs rarely touch it from what I've read...and my kole tang certainly never touched it either. It's my understanding that the zebrasoma genus of tangs are more reliable when it comes to snacking on green hair algae.
All that being said, your best bet is probably to just rely on manual removal and increasing your nutrient export. I beat back my GHA fairly well a few months ago, but unfortunately it all came back after a temp spike killed off several snails while I was on vacation. Get some long gloves on so you keep your hands out of the tank, and just start pulling out what you can on a regular basis (read: daily). I made a little cleaning tool with basically a stiff-bristle pipe cleaner at the end to help with removal...just stick it in the middle of a clump, twirl it around, and pull it out. If you keep up with it, cut back feedings a touch, and just keep on doing frequent water changes...you should notice that it eventually stops growing back and all you are left with are short tufts of algae. I wouldn't add more CUC until you get to that point, since that's when they'll be effective in actually removing it from your tank. Turbo snails should clean up the rest once all you have are small remnants in your tank.
just my .02 on this since I'm dealing with it as well