You are talking pesos, right? I've been doing this for 2 years now and the most expensive places in South America where French Guyana (about USD 2k/mo), Guyana and Uruguay (USD 1.5k/mo in each place) - both times in rented houses and with all food and transportation included. In all other countries you can stay in regular hotels without any discount for long term stays, eat out every day and still live on less than USD 1k/mo (I did this in Suriname, Colombia, Peru, Paraguay and Brazil).
The trick is simply not to use AirBnB or any other booking site except for the first one or two days in a new location and to buy flight tickets with cash at the airport. Having a clue about local economics also helps to evaluate offers and haggle them down from "clueless gringo" rate to "not so clueless gringo rate" (which is usually less than half of what one is asked for initially).
Just being curious, because the usual advice is to buy a couple of months in advance to find better deals.
But when one wants to fly next day in South America, in my experience the cheapest is to just buy at the airport, followed by online booking at the Spanish airline site, followed by the English site.
Several years ago I spent nine months doing it. I wouldn't try to see the world in a year, unless you just want the highlights. Pick a continent.
I started in Antigua, Guatemala learning Spanish for a couple of months
http://spanishschoolplfm.com
I ended in Buenos Aires.