Herbivores will keep that at bay, though there aren't too many things that like to eat the dark hair algae, they prefer the bright green, fast growing hair algae, which is much softer and less fibrous. I've trained a few fish (tangs and rabbitfish) to eat that, by microwaving it, they tossing it back in.
Anyway if you had enough hermit crabs, snails and possibly one small 2"-urchins, they would have kept that from growing in. As for the easiest treatment, lights out will starve the hair algae out, though it would be about a week till the hair algae gets soft enough for your clean up crew to eat. You can repeat that a few times after your corals recover back to normal. Your zoos and LPS won't be affected too much. SPS on the other hand probably can't go without light for more than 4 days.
If you did a total black out, it would probably be more effective, but that may be too much effort.
Oh, BTW since I maxed out the power of my light output, I've switch from growing the dark green hair algae (which is more of a low light species) to the faster growing brighter green, tasty algae, which fish like to eat.