Check out the new place Machu Pichu, Ashland at Byron, in Lakeview. It's new and working out the kinks, but what I've had so far has been pretty good. There's some former employment/partnership connection to the longtime stalwart Rinconcito Sudamericano, in Bucktown.
I had the chupe de camaron and a ceviche and liked it. Tried to order the parihuela to go, and the kitchen refused, saying it's an eat-in dish that depends on serving the moment it is made. I took that as a very good sign. The owner clearly wants to catch some of the vibes from Tango Sur down the street, as he kept nudging me toward steaks. The sign also proclaims it's a "churrasqueria," which isn't quite apt based on the menu and experience I had.
Ecuadorian is also well represented here in Chicago and represents an interesting, similar but somewhat different option. And further in the direction of red meat, there's plenty of Colombian and Argentine, plus a Venezuelan (Caracas Cafe). You should be in OK shape.