A lot of us have moved here with pets but unfortunately the airlines have recently been making it harder and harder to fly with pets internationally so our experience may not be of help to you. My former airline-of-choice for flying with my dog and sending rescues back to the US and Canada was Delta but as of March 2016 they are changing their policies so dogs can only go in cabin (if small enough) or by freight. No more flying dogs as luggage. Flying freight means a host of hassles and expenses including increased fees, no guarantees of your dog flying when you do, mandatory kennel fees, required use of customs brokers, customs fees, etc. Also, Delta does not fly freight out of Belize so that takes them out of the game altogether.
At this point your best bet may be to try American Airlines. But for the dogs safety, they may not fly it on a day that is too hot, even if they are going as luggage. Also once the combined weight of dog + kennel equals more than 100 pounds you will need to do freight with them as well.
Some people have hired private pilots to bring their dogs down or you can drive. You can also check with airlines that fly in to Cancun and then drive your dog down from there but keep in mind that if you do that you need to follow pet importation procedures in to both Mexico and Belize.
Edited by Noelle (01/21/16 12:49 PM)