Quite a dirty job from catching it to processing it for the skin & meat (lots of alligator is served in Louisiana restaurants).

One suggestion to make contacts is the Louisiana Dept of Wildlife and Fisheries:

http://www.wlf.state.la.us/apps/netgear/page1.asp

These guys are good contacts too:

http://www.alligatorfur.com/guides.htm

One more contact, the I'll quit:

http://www.espacefrancophone.org/evangeline/english/page007.html