I am having my honeymoon in Disney, however, my wedding is in Puerto Rico, which would be a great place to honeymoon. We are getting married on Vieques, which is a small island off the mainland of Puerto Rico, it has one of the brightest Bio Bays and it's more laid back and not as touristy as mainland Puerto Rico.
However, Puerto Rico has rainforest, beaches, lots of things to do and you don't need a passport. It just depends on what you want to do.