I vote a 22 Hornet. It's louder than a 22 mag but it's definitely easier on the ears than any other centerfire rifles I've shot including a 223. And It will have the required punch for a coyote out to 150 yards, more so than a 17HMR or 22 mag.
Wanted: 50 Beowulf Brass, .500 cal bullets
"Once you quit hearing sir and ma'am, the rest is soon to follow." - Cormack McCarthy
"I'm just an average Joe, although I did score 4 touchdowns in one game..."-Al Bundy