I hunt IL every year, on family/friends property. Even the managed stuff, has a large diversity in deer size. 160-180 deer are not the norm, 140-160 is what you will see predominantly. Also getting tags with the high end outfitters for gun hunts are years out. So start talking to guys, might catch a cancellation hunt this year or maybe booking a hunt for 27 or even the 28 season. I have had opportunities at big deer over the years. I would hands down hunt Saskatchewan or Alberta in a heartbeat. Those deer are just built different. If I were doing a public land DYI, I would try to get an IA tag, good land programs and decent access, plus big deer.
States to look at would be IA, KS, IL, MO, in that order in my opinion, several others have have good options but those states have the genetics I like.