There are some terrific midwestern white-tail states. If you want to hunt a herd that is managed for older age class bucks (read, larger average racks) look for one of two things:
1. Rifle season that is late November or early December -- after peak of the rut. (This protects bucks more leaving them for he bow hunter.)
2. One buck rule -- the deer hunter is allowed to kill only one buck per year.
States that fall into one or both of the categories include: OH, IN, KY, IL, IA, & KS. IN is the current sleeper. That state switched to 1 buck just a few years ago and is going to change very quickly.
I've lived in IN, KS, MO, and KY. I rate KY #1, IN #2, KS #3, and MO wouldn't make my hot spot state. (Yep, I was shocked how KS's reputation and my experience while there 3.5 years didn't match up.)
The down side for IN is that the rut falls right in the gun season. That's good for the gun hunter but bucks are more vulnerable then.
You could focus on NE Indiana. The best place I ever had to hunt in my life was on the IN/MI line (Elkhart County, IN).
By the way, I agree with Mike about the west. I started hunting WY in 1981 when I had two babies at home, a job that paid little, and I was in my early 30's. I killed a 141 PY Mulie (net) on my first hunt. I hunted irrigated alfalfa from ground blinds. The first evening (I still have the VHS video) there were 146 deer in the field! I shot the 2nd largest buck that was coming to the field.
It is terrific fun to hunt terrain, cover, and critters that are so different from our whitetail country.
I'd also recommend, (wish I had done this) that you establish an elk hunting tradition as soon as you can. Get with some others, budget the DIY, and start learning. I'd go to Colorado for that.
Oh, one more recommendation. Start applying for Bighorn Sheep permits in Montana! It can take years to draw and the more points (failed drawings) you get the more times you go in the drawing. This is my #1 hunting regret now that I've entered my 6th (yuck) decade. I'm going to apply for the first time this year.