You could go out of state and pay a load of cash and be guarenteed the hunt, but thats really expensive.
Last year, my Dad, brother, and I went to central Montana after pronghorn. We had to draw tags, but about 90% of applicants drew tags. There was quite a bit of public land, and most of the ranchers are happy to let you hunt their land as long as you check in with them. Tags cost about $200, which wasn't too bad. We drove there and stayed in a motel, but it wasn't too expensive, unless you figure the price per pound...