Tom M, the .22-250 is some 600 to 700 ft/sec higher MV than the .223...It and the Swift pretty much rule the hot-22 roost.
I've read posts here of some pretty impressive long-distance .243 shooting. I've taken some 20 whitetails with a little Sako carbine; I've found it to be plumb ruinacious on coyotes. Like the .308 from which it is derived, it's an inherently accurate cartridge.
The .22-250 can be finicky, but it, too, will give excellent accuracy after some tweaking with bedding and loads. My uncle's old Mauser actioned, Gebby barrel "Varminter" shot 1/2 MOA, and this was 50 years ago...
Art