If you want to stick with 22 cal then I'd probably go the 22-250. It is an inherently accurate cartridge, has factory ammo available and is probably the most capable of the list you mention (except the 220 Swift which is becoming obsolete (maybe??) and is hard on barrels? and the 224 Wby which has expensive factory ammo but otherwise on a par).
However, the 223 is slightly quieter, about 400 fps slower, cheaper to run (less powder, smaller and cheaper cases, etc), has cheap factory ammo available and is just as accurate. Slightly less recoil too.
Nothing against the .222 or Hornet. They are both worthy in their own right. However the hornet is limited in capability and range and the .222 is merely a lesser .223 (In my opinion - I'll probably get lambasted for this comment but anyway!!)
And if you wanted to venture into 20 cal territory, then there's the .204 ruger and several wildcats available. Check out the 20 and 22 cal pages on
http://www.6mmbr.com.
Part of the fun with a new rifle is the selection process me thinks - enjoy!!