The 22-250 with a 40 grain Sierra BlitzKing worked for me on a couple of coyotes but I still liked a 50 grain bullet of some flavor or even better yet a 55 grain Ballistic Tip since i am a high forward shoulder shooter on most of my critters and the Ballistic Tip is just a little tougher than some poly tipped bullets.
The 17 will work but I am pretty sure he better be able to place the bullet more precisely.
As to the blowing big holes in them and had them run away I am cocking my head a bit to that one, especially if bigger than a .224 diameter bullet.
If hit anywhere from the diaphragm forward I have found them pretty easy to kill.