A 22-250 or .204 is going to make longer shots easier. A 22.250 is a laser beam out to 300 yards its my choice. I cant comment on a .243 as I don't own one but if I were buying something new and didn't already own a 22.250 I would probably go with the .243 as others mentioned it would double as a deer rifle.
On private property, or another state.
My 243 has killed many coyote, but dang, it blows a hole in them. Never a run off with it either. It'll cut a Fox in two. The only reason I switched to 204 is for possible Fox encounters. If I'm in an area where I never see Fox or an area where the hogs lurk, then I'm launching 80 grains of destruction out of the 243.