I would go with a .22 Magnum or the .17 HMR with the 25-grain CCI ammo designed to penetrate deeper.

The .17 WSM is essentially dead. It's an OK cartridge, but the .17 HMR ammo for the Savage semi-auto gets just about the same velocity, with excellent accuracy.

“Montana seems to me to be what a small boy would think Texas is like from hearing Texans.”
John Steinbeck