Kevin, you might want to talk to Shawn at Aquatica about this. He lost almost all the montiporas (branching and plating) in his display tank due to what he called a small white nudibrach (about the size of a grain of rice). They only killed/ate the montiporas. I'm not sure how successful he was at eradicating them. I think the only success he had was fresh water dips and fresh water turkey baster blasts for pieces that couldn't be removed from the tank. Although from your description of the little bugger it doesn't sound like you have a nudi... Good luck.
(maybe it is just as Jared says... just scavengers looking for already dead food?)