If you are looking for A.I. I think that Sandals is the way to go. I've had a lot of friends go to their various resorts on honeymoons, and everyone has wanted to go back. They have resorts on almost every island in the caribbean (sometimes 2 or3) usually each one offers something different or speacializes in something. Like the Royal Bahamian on Nassau specializes in Spa services while St. Lucia has golf. None of the resorts have onsite Casinos, but if gambling is legal on the island there will be one near by. Check out their website at:
http://www.sandals.com/ - now you're making me want to get away
Good Luck and Congratulations on your upcoming wedding