I'm going to the Dismal River Club in Nebraska which worked the best for what I wanted to do. I had looked around for a few years at applying to hunt some of the wild herds but in all honesty with the tag cost, low non resident tag counts leading to long wait time, high pressure in small areas just outside the parks and no guarantee of a shot at a nice bull it just seemed like a lot of effort for very little benefit over hunting one on a ranch.
On the flip side I absolutely have no interest in hunting the equivalent of a fluffy cow where they are raised by people so you are just walking up to them at 20 yards and shooting which it seemed like a bunch of ranch hunts offered. Based on the research that I did the bison on the Dismal River only get human interaction when they are hunted so they tend to behave more like wild animals from what I've seen.
This also location also works out as they offer upland bird hunting as well so my Dad and Brother will come with me as observers on the bison hunt and then we will spend the rest of the trip hunting pheasants together.