I think you should limit your shots with the .22 to 50 yards or less, and aim for the head. With the .17, you might stretch out the range to 100 yards, but once again I would limit shots to the head. Both calibers are kinda light for coyotes beyond 50-75 yards. I am talking about the coyotes I hunt here in New England which tend to run bigger and heavier.The .357 will take coyotes cleanly with a shot to the vitals, but your range should be limited to how far you can keep a 2" grouping. 200 yards is way to far for all the cartridges you mention in my opinion, especially if you want a clean kill.