I owned a Kimber Model 84 Longmaster - .22-250. It was a beautiful rifle, but it weighted 11lbs+. I used it for two years and got tierd of carrying it. Also, I live in hog country and felt undergunned when I ran into hogs.
I sold the Kimber .22-250 and bought a Remington 700 Mountain Rifle in .243 win. It only weights 6lbs (7lbs with scope). With 55gr bullets it has has better trajectory than the .22-250 with the same bullet weight. I like it so much, It's also become my deer / hog rifle with 100 gr bullets.
If you're only hunting coyote and smaller game, the .22-250 is a great round. I would recommend an average weight rifle vs a target / bench rifle.