I am really partial to the 22-250. I have two, a Browning 78 single shot that will shoot into one hole at 250 yards with almost any 52-55 grain varmint bullet and a custom Ruger 77 with a 1:8 twist that is consistently shooting under .250 at a hundred with 70 grain Berger VLD's. I have never been disappointed with the red spray using this cartridge. Good reloadable brass is very available along with a bunch of great powder and bullets. Most 22-250's are very easy to load for and have a reputation for being very, very accurate.
Good barrel life with the 22-250 and I have heard that newer barrel material has allowed the 220 Swift to live a longer life.
My concern with the anything larger than .22 caliber is the likelihood of ricochets. The larger caliber bullets are not as frangible as the .22 caliber bullets, which are not as frangible as the .204 bullets, which are not as frangible as the .17's.
Once again, opinions are like what we use everyday and everyone has one. This is mine.