Sounds like you boys are cooking up a scheme to buy a resident license based on being here in Idaho for "a while". As someone in a field very close to law enforcement in this state, my advice is simple...DON'T DO IT.
Idaho fish and Game is nothing about the fish and game and everything about the money. Their computer systems are tied to computer systems in virtually every other state. They know where you hold a driver's license, register to vote, own property, and file state income taxes as a resident, just to name a few. There is a high likelihood that you will get caught. And any wolf illegally taken and transported across state lines become a federal felony Lacey Act violation, which means you can kiss your right to own guns goodbye forever, as a couple guys in my town recently learned the hard way.
Pony up for the non resident license and tag, or wait until the wolves invade your home state to shoot one.