Teaching English (TEFL) in The Carribean?

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The problem is that English is already one of the main languages in the Caribbean, in addition it is a large area consisting of many countries and commonwealths
Where as in Asia English is either a second or third language and something that many children are taught because English is the global language. Due to this demand in these countries are high so a lot of google searches will direct there, where as, on the average caribbean island, kids will be learning in English anyway.
If you maybe tried choosing a specific island and then going from there you could get a more focused search? Maybe seeing if they have any specialist English schools?
In addition I assume you have a degree as most countries will require that of you? And having a TEFL qualification is becoming more common practice for applicants, predominantly in stricter areas like Asia but the practice is now spreading across the globe. Having the qualification also makes applying easier.