Sadly my thoughts of paying to not eat alligator means I'd pay for an extra meal rather than eat 'gator paid for by someone else.
My Southern clients were often eager to test me with interesting things to eat. It was kind of funny watching Yankee land consulting personnel (aka competitors) confronted with a rack of ribs (which they tried to eat with a knife and fork) or a tub of crawfish which needed to be shucked before eating. Both of which are tricky to eat in a suit and tie. Some folks even had trouble with peel and eat shrimp which was a shock to me.
Ribs, shrimp and crawfish are yummy. Alligator wasn't even marginal to my taste.