Asian carp are filter feeders, so the chance of you hooking one on a fly is slim, unless you start snagging them in the face.
That being said, there are lots of carp around. Anywhere that flows into the Meremec, Missouri or Mississippi has them in there. I tend to keep the small creeks I know of with them in it under wraps just so the bowfishers stay out and dont toss them all on the banks.