Good news NONRESIDENTS~ Don't give up just yet. Wyoming offers a second drawingfor "Leftover" tags. Application dates are July 10 - July 20. Tentative draw date is July 31. You'd have to go to the G&F site and find the areas with leftover tags, and applyin those areas.
You can also buy reduced price cow/calf tags left over from licencing agents in the area the tags are good for. More risky cause you have to buy them in person.
Might seem like you would get the "sloppy seconds", but not necessarily. Give it a try! Glad to help any other way.