FYI, I have had friends that took carvings back to less humid conditions which can cause the wood to crack unless it has time to "adjust". What works with the carvings is to put them in a plastic bag with a slice of apple. The apple gives off enough moisture to allow the wood to dry out more slowly and adjust to the less humidity, sort of a transition period from 100% humidity and 100 degrees to probably 20% and 10 degrees in the midwest in winter. You open the bag a little more every couple days. Now I do not know about your drum. That might take a garbage bag and a watermellon.
Seriously, it works.
PS:, it needs to put in the bag before leaving Belize. It is just like your skin once you get on that airplane, it starts drying out and cracking.