I have a model 12 BVSS originally in 223 that I re-barreled in 6br. Got a new std bolt head, and X-Caliber 28 inch, 8 twist varmint wt barrel, new recoil lug and barrel nut. Once you have the tools, it's a 20 minute job to change barrels. I put a 308 blind magazine in the stock just to plug the hole. I single feed, and have removed the ejector so the brass stays on the head, as Nor Cal Mike writes.

This works very well when the barrel is getting hot. I feed the round and immediately open the bolt. The round stays on the bolt head but is not being heated by the chamber. I close again just before firing.

In answer to your query about action size, the Large Shank Action you write of is larger in diameter and also has 3 action screws at a different spacing. So no, one cannot interchange stocks between a model 10,11,12 small shank action with 4.41 spacing and the 3 screw Precision Target Action.