RE: .22 rimfire on coyote
Simply put...not well at all.
If you can plunk them in the brain or spine them...it will work. Otherwise you had better be into tracking orthrowing a lot of lead.
I'm still not sold on the 17HMR for yotes, either. I don't have enough experience to give them a thumbs up or down. I know that a 223 is ideal for my situation.