If you go downtown to second avenue, you'll find a few that should meet all your needs. They had a horrible flood there about a year ago and I'm not sure which places are still under repairs.
Link for shows-
Avoid the expensive tasting menus and you should be able to hit quite a few of the top places.
I loved the choices we made, but we went over your limit with a "you only live once" attitude-
We stayed at a great, private villa overlooking Dawn Beach on St. Maartin. It sat 100 yards from the Westin resort, has 2 pools with a great view and is 20 minutes from the gourmet restaurants of Gran Case.