I live in Laramie right now and there's a bunch up by Glendo. I'm sure there's landowners that will let you coyote hunt. There's a lot in Medicine Bow National Forest as well. You're correct, you don't need a hunting license to hunt Coyotes here in WY.
"Coyotes and jackrabbits are legally classified as predators along with raccoons, red fox, porcupines and skunks. Under Wyoming law, these animals may be taken year round and no license is required. However hunters must still abide by other laws pertaining to the taking of wildlife, i.e. prohibition of shooting from roads, fulfilling hunter safety requirements, hunting using artificial light etc. Further explanation of the dos and don'ts regarding these and other laws is contained in any Wyoming hunting regulation pamphlet."