You're from Illinios so you are used to corn and soybean fields. I am from Ohio so am used to them, even planted my fair share of them, too. First time through the Big Horn basin, after passing through all the rugged country from the Black Hills through the Big Horn Mountains, I was astonished and, to tell the truth, saddened to see how much agriculture was in the basin. Don't get me wrong, it is a lovely spot. Much better than Ohio or Il has, but I wasn't expecting so much corn and soybeans, hay and beet fields in that 80 mile stretch between the Big Horns and Rockies. Would I live there? In a heartbeat.
There are places in Wyoming that are the ugliest spots on earth and there are areas that I've not seen their equal in beauty. The basin isn't in either of those extremes but is close enough to the beautiful locations to be very attractive to this midwestern man.
Be sure to visit Frank's Peak just west of Meteste. Gorgeous high country. Don't forget to drive the Ten Sleep route on the western side of the Big Horns, either. So much to see, so little time.
My personal preference is the east slope of the Big Horn Mountains. Someday, I might just make it there for a prolonged stay.