Have you also tried Googling health services in Bermuda to contact the Health authorities there? Usually, if countries in the NACPT (North American and Caribbean Region) don't have a large number of PT's, they may not have an association/board, but want you to at least be registered in your country of training.
I have seen PT jobs advertised on websites online though for Bermuda so it may be worthwhile to also contact the Health Services department/Ministry there as well.