sorry for the loss of your coral beauty....but im sure you are still feeling pretty lucky compared to what it could have been. I had never heard of a battery powered air pump, and will have to get one soon....sorry for you misfortune, but good thing for boards like this. In cases of serious crisis they can really be a life saver.
That whole "hair algae is easy to get rid of, just throw some snails in there...." believe me, I know a lot of people who would argue with that. But if you didnt have a hair algae problem before the loss of power, you shouldnt have one after. It will all eventually return to equilibrium. But as stated a couple snails are never a bad idea.