Is this for any quail? Most states do not combine Coturnix quail with the others like Bobwhite.
At first I thought the Coturnix came under the same regulations, but they don't here.
For instance I would have to have a permit, etc. for Bobwhite but not the Coturnix, both being quail.
If...
I checked Craigslist.com for Wyoming and came up with someone in Cheyenne that has pigeons to sell.
Maybe he could lead you to someone that has quail there in Wyoming. Worth a try.