So, I haven't played with a 204, I have 223, 22-250, 243, and such. Its hard to beat a 22-250 or 243 on yotes. I've got a 1:14 twist tikka 22-250, shot about 30 coyote with it this year. Win varmit x 55gr has been dynamite. As others said, a 22-250 will do all a 204 can, but not vice versa. As for the 220 swift topping the 22-250, well, maybe depending on who's handloads are hotter, but I know my 22-250 ammo availability is alot better. Is anyone offering the 220 in a factory clambering still?
As for the rifle, with any of them, check aftermarket chassis support. Savage generally makes a shooter, when I buy a coyote rifle, I want these features. Threaded barrel for a can, aftermarket chassis availability, detachable magazine. And a twist compatible with my intended bullet.