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.
"Once you quit hearing sir and ma'am, the rest is soon to follow." - Cormack McCarthy
"Feed me, or feed me to something. I just want to be part of the food chain." -Al Bundy