Heck no, avoid the 22 cals if you are shooting long range, how many 22-250s do you see at 1,000yd events? I have yet to see one, the only reason that is the case is the very poor BC of 22 cals give them stupid high wind drift. 6.5s are the smallest caliber capable of ultra high BC with factory twist rates. Hence the lightest kicking long range rifle. I LOVE my T3 Stainless 6.5x55, very very nice rifle and everyone who has shot it agrees. The 6.5x55s are a touch hard to find though, you would have to order one for sure unless you have some rifle mega store nearby. The 260Rem, 6.5 Creedmore, and 6.5x47 are all capable of similar performance and are more trendy at the moment, thus easier to find, but I am not sure they have the staying power of the 121 year old 6.5x55. You can bet that brass and ammo will be available for the Sweed as long as we use powder to push bullets, not sure the same can be said for the others. One more note about the 6.5mm calibers, while nearly all 6.5x55s are super tight twist that will stabilize the LONG 140 VLDs and 160gr hunting bullets, the others have different twist rates so research your rifle before you buy. Myself and many of the hardcore 6.5 cult prefer the 1:8s while others can come with twist rates as low as 1:10 which are only suitable with 120gr class bullets. CZ, Howa, Tikka, and Sako all chamber the 6.5x55 and I have seen a couple recent Savages and Winchesters though they do not list them. Probably a limited run kind of thing.
Of all the calibers I have owned the 6.5x55 hold a special place in my heart, it can effectively be used for anything and everything you would ever want to hunt and it's high level of inherent accuracy makes it a dream at the range.
BTW 243 and 257 cal projectiles lack the remarkable BC/SD of the 6.5s, they are perfectly adequate for hunting within realistic ranges, but not something that I would want at 1,000yds. There are relatively high BC bullets available for the 243 cal, but they will not stabilize in factory barrels. The only calibers that rival the 6.5 in BC are the 7mm, .30, 338, 408, and 50 cals. The 6.5 is easily the lightest kicking of the bunch.