1) Im guessing these are vermetid snails, not annelid worms of any kind, but I may be mistaken. That makes a load of difference in the treatment/eradication.
2) Jenn, I find it VERY unlikely that any fairy wrasse will eat them. Fairy will usually only eat out of the water column, and certain dont have the mouth structure to consume tubed worms.
3) As suggested, based on the actual animal in question, a butterfly is usually the best way to control them. Smaller, reef safe wrasses usually wont go after them.
OP, can you get a pic?