re: Turks and Caicos Islands...

I've found that the service people in the customer service departments of airlines have more power than they claim they do.
If you are NICE to them.... and I mean genuinely, sincerely, actually nice. They will break their "rules" and do stuff for you that they normally don't.

For example, we had a flight booked to SLC for a ski trip, but they changed the flight time from 6PM to 2PM.
Well, that was going to force me to take a day of vacation. Therefore, I'd rather take the 11am flight, but that costs $200/pp. And I had booked 4 flights ($800).

So, I call up the airline and am super friendly and nice while I explain that their change in flight time has inconvenienced me and I'd like an alternate flight.
The guy leaves and comes back on the line and asks what reason I have for wanting to change to the 11am flight.

Here's the cool part....
I said, "Ok. Because you are not telling me 'No', I assume that there is an answer that would allow me to rebook without the fees. Now, I don't know what you want to hear... but let's just pretend that I gave you the right answer." And I engage in full radio silence while I let him think about it. And after a long pause, he laughs and rebooks the flights.