For chucks and coyotes, the 243. It can be loaded from 50 grain balls, up to 100 or better. For chucks and coyotes, why make them suffer kill them. I say the 243 also if your day hunting for groundhogs and call for coyotes some, and one respondes 250 yards out the 243 loaded with a 58 gr. v-max will be a easier shot with the 243.
I learned my lesson, squirrel season, a 22 mag is the ticket, why? Because i have seen a couple coyotes 60 to 70 yards when i was sportin my fancy CZ 22lr. So now everytime I hunt I try to take the maximum legal fire power I can. So for chucks and coyote a 243. But I also own a 223, at 125 yards at night, it is also a fine rifle. But again the 243 while hog hunting just incase you see that far out coyote. Also dont overlook the 204 for that combination of hunting.