My choice would definately be the 22-250, whether you handload or not.

But if you do handload, you can load up 100 rounds with V-Max bullets, Varget powder, and Win. LR primers for less than $15/100 rounds. Another thing to consider is that the 22-250 will be more versitile if you handload for it. If you shoot 55gr bullets and want to pop prarie dogs with less barrel heating you can easily load the 22-250 down to 3200fps or so. And then when you want to shoot coyotes you can punch the throttle up to 3600+fps and smoke 'em down there in a hurry. 22-250 brass isn't really much more expensive than .223 brass, and the 22-250 brass will likely be much more consistant being that you don't risk getting a bunch of mil spec brass mixed in with commercial brass. 22-250 is also typically very accurate, too.

Mike