I was born & raised in Ill. & now live 1/2 hour from my home but in Iowa (right on Miss. River & Ill.,Ia border). Been Bowhunting deer for 48 years.
After Gun seasons you see very few deer until around Christmas-at least areas we hunt-some private, some public. Weather can be nice OR BITTER COLD, snow or no snow. Major RUT is over.
I cannot recommend any outfitters as being from this part of the country think PIKE is over rated because of outfitters. Ill. has good deer in almost any county thou access is becoming more difficult to private BUT, there are several excellent PUBLIC access areas. Bowhunting North America Videos (web page) has a video with information & maps on Public Access Bowhunting in Ill., Iowa & Ws..
Good luck & enjoy your hunting. Remeber this thou-we don't have a giant behind every tree, no matter what your told.