The Museum of Hoaxes has scans of a dinosaur hunting license that was issued in Vernal, Utah in the 1950s. Vernal is rich in dinosaur fossils, and the Vernal Chamber of Commerce handed out the licenses to drum up tourist interest. They’re apparently still available (the site that MoH links to is down, but here’s an updated license), although I notice that the name of the Deputy Lizard Warden has been changed; apparently Kids These Days haven’t heard of Alley Oop.

Something similar to this would be easy to create on a home computer, and you can change the license to the monster or cryptid of your choice. Just be sure to specify bag limits and other restrictions; you wouldn’t want to wipe out the local vampire population by over-hunting. They’d be a cute party favor, and would also look nice framed on a wall.