Call the Medical schools out there. Many times they hire doctors part time to teach. Good source of income. Tax free.
But just so you know, I understand that the Islands have too many doctors. so it may not be easy to move there and practice.
I did see an advertisement once in a medical job site for a doctor with a minimum of 3 years experience in Primary care to work in the US virgin Islands.
that would be a cool job to have for a while.