My experience from diving all over the world is there is no need for PADI Dive masters in tropical places. If a shop needs one, they can get in a paying customer, train them up and then hire them.
Here is the link to PADI pros website, to get an idea how much demand there is for PADI Divemasters:
PADI Employment Board
On Roatan, the full time DMs are locals, on Utila, there are some DMs who did their training on the island and basically volunteer at a few dive shops, Instructors fill the role as DM because of a lack of work and excessive number of instructors hanging around.
You would probably be better off attending bar or waiting tables on Roatan or Utila.
Your profile says TDI, so in the event you are a tec diver, you may find a niche on Utila with the Utila Dive Center & Bay Islands College of Diving (they have tec gear for teaching) or on Roatan CoConut tree divers does tec courses and maybe on the days the instructor is sick, you could lead a tec dive: Note, there isn't much tec diving going on in the Bay Islands.
However, drop an e-mail to all the dive shops and see what they have, don't be surprised by the answer... except for Utila Water Sports... they needs DMs come XMAS and the new year for the resort.
Club Med hires DMs, but you end up only being the snorkel instructor:
ClubMed-Jobs - Discover our professions