Yes.
Oopps, I reread the post and you want just ONE of them. Ok, if you must chose, flip a coin, try the dart board. the 7x57 and 6.55 swede do it with a little more powder and lower pressure (and class!), the .260 and 7-08 have a better selection of factory ammo. Toss it all out the window as all of them are great cartridges to handload. the 7-08 and 7x57 are really identicle in the real world, as are the 6.5x55 and .260. You can't tell me anything from coyote to bear moose elk and deer can tell the difference between the four. each can reach out a good ways, but are not o fast that you have to wory too much about bullets blowing up. You can load up with premium bullets or plain ole core-lockts or silvertips, sierras etc.
I am sure that helps make up yor mind. Try the dart board. Seriously, if you handload I would go for the 6.5x55. Great bullet selection, probably more "inherently accurate" than the the 7x57, lower pressures than the .260