Redawg, not trying to tell you what to do but I would choose a 223 over a 221. I have a 221 in a contender, it is an excellent little crow pistol out to 200 yards away, I have taken coyote with it, I, ve taken several with a 223 and a 17, none of them knew the difference. Point is all will do a satisfactory job, the 223 is cheaper to get guns and ammunition for. You can usually buy bulk bullets cheaper than you can reload them for in the 223.
As for the .17 they have thier time and place, I would part with many of my rifles before the 17s. I have too hit a shoulder with a 17 and the coyote ran off. I have also done this with a 22/250. I'm not trying to make the gentleman above look bad, what he said is true. Trying to defend a puny caliber for it's lack of power would be kind of silly. That's the whole point, the 17 will kill any coyote with a good shot, just like any other bullet. Where it shines is minimal pelt damage.
I believe a 223 would be of more use to you, besides you can always pick up a 221 or 17 later. Better yet get a contender carbine in 223 and put a 3-9X on top of it, later on get a 10 inch 221 and pistol grip and another carbine barrel in 17.