Well, there are tons of options. It sounds like you want to head to the Caribbean, but knowing that for sure as well as when you're planning on going would be most helpful in narrowing down things. Also, do you have a budget in mind?
Here's my list of Caribbean/Atlantic destinations that I've either been to or heard excellent things about. I will warn you that I like to sit on the beach and do nothing, so your expericences may vary. All of these are all-inclusive.
Peter Island - in the British Virgin Islands. I think that some of the folks that started Amway own it, but it's the entire island. There are only 100 or so rooms, and the suites are great. There's a bartender there that makes a killer mojoto.
http://www.peterisland.com/
Little Palm Key - I've posted about this one before, and honestly it's my favorite hotel in the entire country. There are only 30 or so rooms, and all of them are cabanas. Again, the resort is the entire island, but it's only 5 acres or so. There's a 5 star restaurant on the island, and if you told me you were staying in Key West and looking for a place to eat, I'd send you the 30 miles up the highway to have dinner; it's that good. It's also very expensive but worth every cent.
http://www.littlepalmisland.com/
Atlantis, Bahamas - I was there for a work function a couple of years ago, and my wife really enjoyed it. I, unfortunately, was in meetings most of the time, so I didn't get the full effect. It was much busier than many other places we've stayed.
Charter a boat - this is our next vacation, once our kids are old enough to fend for themselves with grandma for a week. We talked about doing it for our honeymoon but decided against it because my wife was a little nervous. In retrospect, we wish we had done it. Typically you rent a boat complete with a captain and a cook, and they shuttle you around the islands. We met several people doing this while on our own honeymoon, and honestly they seemed like they were having a great time. There are a bunch of places that do this out of the BVI's and will generally take you whereever you want to go within reason.