Division of migratory bird management can issue a permit for the taking of depredating birds. The regional office for Wyoming is in Denver. Phone # 303-236-8171. Good luck on receiving the permit.
Dont know what the law states exactly, I know you can't kill it. If they are not showing fear,net it with a large fish net, put in a box and drive a few hours and release. Dont know if this can be done,seems to be all I can think to do. I wouldn't want my dog tangling with their talons either...