It's flat to rolling, to small-scale rugged badlands, to a central uplift of canyons and ponderosa pine. It's undersubscribed, if you applied you WILL draw. All of the decent hunting is controlled by private landowners, the publicly accessible public land is small-scale, crowded, and marginal quality. Even if you are willing to pay, most of the better places to hunt are filled up a year in advance.
I'd call the Casper G&F office and get a landowner list for the area, and the Douglas WY Chamber of Commerce, they help hunters find a place to hunt. You need to try and find a ranch to hunt ASAP, for a quality hunt it is 100% pay to play.