With the 22 magnum cylinder loaded up with hyper velocity HP's, you're maximum "effective" range on foxes, or groundhogs will be 20-25 yards, and that's only with good bullet placement. As for a coyote, unless you get a "perfect" head shot you'll likely never find him.
In my opinion, you'd be a lot better served by the 357 magnum loaded with mid-range 357 SP loads, or 38 specials. It'll handle coyotes, and groundhogs up to 50+ yards, and won't blow a fox up too bad either.