I've only ever shot my grandfather's 22-250. All I can tell you from personal experience is that it's a very flat shooting round and has some pretty evil range on it as well. We were shooting at an old refridgerator on his land from about 800 yards away, and once I had the range down, I was hitting it damn near every time. If you have a decent rifle throwing that round, it's a VERY good long range round, but on the plinking aspect, a bit too pricey for that category.
The 250 is a good mid range gun. You can go long range with it in good weather but the bullets are to light to handle even a slight breeze. The typical 50-60 grn bulets are good out to 500yds but beyond that the 68 70 or 80grns loads are better, if your gun can stabalize them, you'll neeed around 1in 9" twist rifling and loaded they're to long to feed through most magazines so it's single shot only. But for 50-60grn factory loads you can get them for under 15$ a box most places
This is a good cartridge overall but depending on you're idea of long range something in 6mm or larger might be better suited for that task.