Like mentioned Morain Hills or Volo are options but even if you draw a tag that will only give you a 4 day pass to hunt. The Chain has public but it is a circus trying to get out and hunt it. I would either look north in Wisconsin or hit up Midewin in Joliet. Passes for Midewin are free and will be available in 2 weeks and with a ton of land and few hunters it will probably be your best bet. If you want to travel a bit farther Mathisin/Starved Rock are in LaSalle Co and has some big bucks. I hunted that area alot a few years back and hardley ever ran into other hunters.