Great fare that has been discovered by Mitz9060.
You can fly from New York or Los Angeles or Miami to Iguazu for just $450. Normal fares are 2-3x times this price.
It works for all LAN destinations in the US.
Sample dates are October 8th to 13th 2014. This fare should earn 100% on AAdvantage. This should be 13,708 miles or about 3 cents per mile (about a third of what flights are usually priced at).
The fare does NOT show on ITA Matrix or Google Flights, so you need to look up dates on Expedia.
It is absolutely a location I can recommend.
You may be able to squeeze in stopovers at Lima and Sao Paolo if you play with the dates and multi-city search.
You can book at Expedia.