For coyotes and deer a 243 winchester or 6mm remington.
For coyotes and smaller id look at the 223 rem or the 22-250 rem. Your alot more likely to pick up a box of the above mentioned at wally world than you are the 220 swift. Plus theres tons of loading for the two. The 223 will be cheaper to shoot, the 22-250 will be flatter shooting (less bullet drop), and alot faster.