I have known people to have extremely good luck with a claw trap set in about 6 inches deep water and covered in a silty mud, with about 4' of really light cable anchoring them to something. placed at a spot where they really like to hang out. from that point they can be relocated to a safe place.
The ones around here wouldnt know what an alligator is other then a spot to land on.

All the really good ideas I've ever had came to me while I was milking a cow.