Try canned corn or bread ball on a hook. I have caught grass carp on it with success. I assume that they would work with Asian carp too.
00 Mod, that is a monster carp that you got there...did you snag it?
Unfortunately a grass carp and common carp are completely different fish from asian carp. Like everyone else said they are plankton eaters and just swim around eating all the nutrients out of the water and is how they completely decimate any body of water they are found in. Plus they reproduce very quickly which multiplies the problem.