Aiptasia reproduction?

[canadawest]

DESTROY IT NOW!!!

I didn't think much of the couple Aiptasia in my tank a year ago....

Now my tank is literally OVERRUN with the stuff. There isn't a place you can look in my tank that you don't see flowing fields of the stuff.

My couple Peppermint shrimp simply can't keep up with it, or just aren't interested in it. I'm at the point now where I'm so disgusted with it I'm considering tearing down the whole tank and restarting. (This means bleaching all my live rock and starting from scratch with uncured base rock after)

Anyone know of any natural sure-fire Aiptasia predators? I'm probably going to add a couple more Peppermints, but if there are any other known crabs, snails, fish or whatever that decimate Aiptasia, I'm willing to try!