Kindof off the beaten path, and not your mainstream trip, but still great place to me is Big Bend. There are places you can go and see no signs of any civilization at all. Remote camping, cold beer, campfire, just the right stuff for a honeymoon. IMO
Here's the link.
http://www.visitbigbend.com/whattosee_bbsp.html

 

I am from Flori-duh! and I agree... it's kinda cold there in feb...

Man, I went to aruba, and it was the most beautiful thing I have ever seen in my life. Not crowded at all....

 

Singapore is nice this time of year.
Indonesia (Batam Island) is only a couple hours away and you have some cheap shopping and food.