ecuador

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Like, for instance, this amazing house for $400 USD a month, in Quito:

http://quitorentals101.com/city/Quito/Quito_Southern_Quito_Houses_for_Rent_2.html

And Quito, being the nation's capital, has a TEFL school.
As does Guayaquil, which is the largest city, and largest port town, in Ecuador.

Totally possible.