I'd suggest checking out Northern Illinois University (
http://www.niu.edu). They don't necessarily "specialize" in world music, but they do have one of the top steel band programs in the world, and instruction/classes in tabla, gamelan, African drumming...there used to be an Andean ensemble, but I don't know if they still offer that. Plus, NIU is in DeKalb, IL, which is about an hour's drive from Chicago, which has a thriving cultural scene, including musics from around the world.
FWIW, I'm an alumnus of NIU (and for a semester, a teacher in the percussion department), but I don't currently have any affiliation with the school.