That is inaccurate. It is not a “permit”.When you check your firearm as luggage, iypt must be in a hard sided, lockable firearms case, and it must be locked. It must be declared to the agent, and you sign a declaration acknowledging that it is properly packed and unloaded.
Ammunition must be either in a container manufactured to hold ammunition or in its original packaging. You are not required to declare ammo.
Hunting permits to hunt sasquatches are not available anywhere. A hunting license and tag legally justifies the possession of firearms both in your car and on your person. Wild pig tags are usually valid year round in the western states, and tend to be the cheapest big game tags available.
Whoever kills a Bigfoot can likely count on a myriad of aggressive and vengeful legal persecutions ranging from illegal big game hunting to murder. It would be best to take some photos, get a gps fix on the location, quickly cut off a hand, foot, and head (which together probably weigh up to 50 lbs), put them in a burlap bag, and immediately drive to Idaho State University where you walk into Jeff Meldrum’s office, put it on his desk, give him the gps coordinates, and drive away without a word.