With the right setup, I'd probably hunt them with a .22 CF. Something in the .22-250 class with a fast enough twist to stabilize a 60 grain partition, and deliver it broadside into the heart 'n' lungs, sure.
That's pretty darn different shot angle from what y' get with a "problem" bear. I've never seen a bear charge broadside.
.338 seems a wiser plan.
