Good luck, I have the same problem.
Rabbitfish might eat it?? Interesting. I'll try that out, I have a tank with a pair of rabbitfish. Although that tank has xenia that they don't touch, so I'm a little skeptical that they might go for anthellia.
I'd love to try me an angel to eat them, but my main worry is what will the angel eat afterwards... Are clams safe? LPS? Acros? etc. .. My experience is that usually if something eats something you do want it to eat, rarely is it contained to that "one thing" and the other things may be things you DO want to keep. For example, my CBB eats aiptasia like there's no tomorrow. That's good!

But he also picks at blastomussa's and candycanes. That's .. ah, not good.
