17 hmr is fine for fox and coon.If you are in coyote territory get a centerfire.
Fox calibers:17hmr,22 mag,22 hornet,17 fireball,17 hornet,218 bee,221 fireball
Coyote calibers:17 fireball,218bee,221 fireball,204,223,222,22-250,243,17 Remington
I probably missed a couple but that's what came to mind.Back to the 17 hmr,Savage makes a pretty good shooter as long as you get a heavy barrel model.For accuracy CZ is hard to beat.I have used the 17 hmr for several years,the factory 20 grain will work but a 25 grain hollow point in a modified load is an excellent load for fox and coon.If it wasn't for the occasional coyote showing up I would absolutely use the 17hmr.
Choose your caliber according to your needs not by whats readly available or cheap or thats what your buddy uses.Are you shooting 120 yards or more?Is pelt value a priority?How about noise?If your hunting greys maybe a shotgun or combo gun would work well.Good luck with your decision.