Hunters will not eliminate the wolves. Doing so would require hunters, professional hunters, trappers, and poisons.
Aerial...
That works but not as well as you think. When done in Alaska it worked because of all the open terrain. Wolves have very good ears and they learn quickly to use cover which Idaho has plenty of.
Setting up traps and snares around fresh kills will probably produce the best results. That and finding someone truly good at conversing with wolves.
Osky