That sounds like an elegant little rifle. Isn't it accurate any more? I love my 257 Roberts, but JMO, the 6.5 Swede is more versatile. You just take a 120 gr bullet, load it up to ~ 2800 fps and voila! a Super Roberts , or 257 Improved, whatever you might want to call it. Good for deer, hogs, antelope, and some larger game. A few will use it on elk, but it isn't my first choice.
THEN, switch to a good 139-140gr. bullet, and black bear, elk, moose, are comfortably covered.
A plain rebarrel will run $3-400. Try E.R.Shaw, who advertises in Shotgun News. I used to see cock on opening kits for Mausers regularly, but that was years ago.
There are probably some still around, and if anyone will have them, it would be Midway or Brownell's
CZ chambers for 6.5 Swedish, and also Howa, as I recall. Ruger builds an international or lightweight, as well as a standard 257 rifle, at about what you are looking to pay for the work on your Swede. Of course, that's your call. An addition to the gun collection is always nice.