As someone who has lived in Wisconsin, Wyoming, and Utah, and hunted many other western states I will give you my two cents. Many of us "flatlanders" are spoiled by long seasons. We may be only able to hunt 1 or 2 species but we have long seasons for archery hunting. Out west, rifle seasons tend to take priority. For example where I lived in Wyoming, archery season for elk was the whole month of September, but rifle deer season started Sept 15th so that kind of ruined the whole month to yourself as a bowhunter. So there are factors other than just what species are available.
If I could move back out west and had to make the choice strictly based on hunting I would probably go with Montana. OTC for residents, multiple species to hunt, tons of public land, and the longest contiguous archery season (to my knowledge) of any western state. Idaho or Wyoming would be a tie for a close second.
Nathan