I checked Dept of Natural Resources here in Illinois because I thought there was a hunting season for badger, but I was mistaken. There is a trapping season for badgers though. These are the dates for trapping.
Raccoon, Opossum, Skunk, Weasel, Mink
Muskrat, Fox (Red and Gray), Coyote, Badger
Nov. 5, 2008 - Jan. 20, 2009 (North)
Nov. 10, 2008 - Jan. 25, 2009 (South) Unrestricted except opening
days start at sunrise and
closing days end at sunset
No Limit except for badger, which is limited to two per
season in the north zone and one per season in the
Beaver south zone Nov. 5, 2008