Cajuns love them for sauce pecante.
Pap 
One of my roommates in college was from Breaux Bridge, La.  His family had a house boat out on the Bayou.  They got together out there regular and I got to go a few times.
They kept a few Softshell AND Alligator Snapping turtles in a big floating cage just for that.
When his Mama, Aunts, and Grandmas  would get in that kitchen and start yelling at each other in French, I KNEW that something REAL GOOD was cooking!