Do you kill a lot of Gator up there in the sippi? If not, why would you eat gator tail other than 1 Saturday in September? But to answer your question....
The only part of a gator that is edible is the tail. It's hard to find the "tenderloin" in a supermarket and any other part is just plain tough and......taste like tough chicken AND is more expensive than chicken.
My advice is, if you really want some decent gator tail, order it online. I've got a place booked marked somewhere if you want me to post it. When/if you get some, make Armidillo eggs with them. That's the only way I prepare it anymore and only do it in September.
As far as the Jambalaya..
shrimp, peeled, deveined and chopped
chicken, diced
cayenne pepper
olive oil
chopped onion
chopped green bell pepper
chopped celery
fresh chopped garlic
chopped fresh tomatoes
bay leaves
worcestershire sauce
hot sauce (whatever brand/type you like)
rice (I use Mahatma yellow with saffron)
chicken stock
andouille sausage, sliced
sea salt and fresh cracked pepper