By far the best place to live in Brasil is São paulo (state) countryside. Very safe cities, close to urban centers, not expensive at all. Santos is also pretty nice but 1k might fall short.
https://en.wikipedia.org/wiki/List_of_municipalities_in_S%C3...
As I've experienced trying to rent a place in SF, in Brazil even largest cities are _waaay_ easier. You'd have to talk directly to an owner (since it would be difficult for you to prove income) but it wouldn't be a problem finding them and renting for less than a year.
Language will not be a problem, there's a startup scene if you feel like talking shop, and plenty of places to see and visit. You'd have all the infrastructure to stay for a long time.
You can go pretty far with 1k USD here. Also pretty well served in terms of free healthcare, but I don't know how it works for foreigners.