You will have your choice of anything once you get here. It is the slowest time of the year.
Your problem will be that for some of the major trips, there will not be enough people for them to go regularly, so check early, and let your hotel or dive shops know what you want when you arrive.
Many of the restaurants are also closed. Many use this time to give their employees vacation.
But for a honeymoon, it should be perfect. Few people, lots of privacy and space.
Have a great time.