RE: Illinois Bow hunting
The most fun and productive season I ever had was a week after the first shotgun season during Thanksgiving week. On a Sunday morning I rattled and grunted in a 7 pt. buck on the ground. Killed him at 12 yards while hiding in some weeds higher than my head. This was my best hunt ever, very exciting to paw the ground with antlers, rattle and grunt a buck in.
Two days later(Tuesday) killed my 2nd best buck at 8 yards on the ground while stretched out from behind a large water oak. Lots of luck involved and I had seen this buck 3 different times in early season, but could not make a serious attempt at getting him until that particular morning. So yeah, post firearm season can be very successful under the right circumstances.
I try like heck to hunt where deer are likely to feel less pressured and more secure after gun season.