What are you hunting? If you're sticking to small stuff, a cz 527 varmint in .204 would be my pick. They've got nice little slick actions, are usually outstandingly accurate, and can be very good looking if you luck into some nice wood. They've got a medium heavy barrel of decent length, but it's still a fairly lightweight gun due partially to the small action. A .204 also has better ballistics than a .223 or a 22-250, and ammo is usually closer in price to the .223.

If you want to shoot coyotes, a .204 should work ok, but a .243 would be better. I personally would never buy a 22 caliber centerfire rifle now. I would pick the .204 or shoot 55 grain ballistic tips from a .243, which strangely have a higher ballistic coefficient than the same weight in 22 caliber and start out faster too- that means a 55 grain ballistic tip from a .243 will shoot flatter and deflect less in the wind than a 50 or 55 grain 22 caliber ballistic tip fired from any standard cartridge.