Turns56, I feel your pain with this one. The only public places I know of in our area are put and take (like Channel lakes state park). Sorry I couldn't be of any more help.
On the brighter side, to help bring some relief this issue, my Pheasants forever Chapter along with other N. IL Chapters are acquiring around 100 Acores a year in N. IL. These lands will be turned over to prime habitat and then open to the public. Doesn't sound like much but in 10 years we should have around 1,000 Acores opened up. Hopefully it will just keep on growing from there.
Also, we have worked with the McHenry County Conservation Dis. (with help from DNR) to open up many of their lands for hunting. You have to go through some hoops at first, but you will then be good to go hunting on certain lands. I'm working on the pheasant hunting issues with them and not really getting anywhere. It's really unfortunate because they have some great bird numbers on some of their lands. But deer, ducks, and geese are open in areas. Hope this helps. 1Pheas4