The best place with the most public land is the Pine Ridge. The best place witht he biggest bucks is the Sandhills, but public land options aren't great. I believe there has only been one B&C buck to ever come out of Nebraska. At least there was a few years ago when I last looked.
So, does that mean it's not worth it? Up to you. I love hunting in Nebraska. You obviously don't have them in Ohio, and that's the closest place for you with the easiest tags to get.
We hunted the Sandhills SW of valentine two years ago, there is very little public land other than the National Forest which doesn't have much for trees, lots of rolling, grass covered "Sandhills". There are numerous plum thickets but we went the last weekend and it had been hit HARD, lots of ATV tracks all over the place. We did harvest a couple mulies, 4x4 and 4x5, but nothing special. If you plan to hunt the national forest bring a GPS, as everything looks the same and there are numerous trails.
We are heading to Pine Ridge this fall, but are going to go the first weekend.
the biggest mullies that i have seen have all been in the south western part of nebraska but central nebraska has big mule deer also but there alot more skidish and is much harder for you to go a good clear shot on them
The record books, that are put out by Boone & Crocket and Pope & Young and where I live is Henry Kelsey they are a great way to research a state or a province for big game. This does take some time but the knowledge it gives you, can be very valuable. Not all hunters have their trophies recorded, as where I live after the Hanson Buck became the new world record typical Whitetail, we saw a flood of hunters and now that has happened, some hunters are shying away from the record books but...