RE: 243 for coyotes?
I'd choose the 223 just because it is alot cheaper to shoot, especially if you don't reload. The 22-250 will have a little more range. I used to have 3 223s for coyote hunting. If you choose either I would suggest a 50gr bullet as minimum. I had really good luck with 50gr V-Maxs and 52gr HPs.