I haven't played with the Control Round Feed savage actions but if they're anything like the Mauser derivatives I'd stay away for a single shot. The reason is that most CRF actions are designed to be loaded from the mag and not one at a time. Most won't engage round UNLESS it comes from the mag.
For you in the target action this would mean that every time you wanted to chamber a round you would have to remove the bolt, slide a round up onto the bolt face and then replace the bolt. Getting a fired case out would be the same process in reverse, as the ejector is separate from the bolthead on a CRF (unlike the plunger on the push feed) so it wouldn't spit out cases unless you modified the receiver.
I believe this is the one I used when converting a .270 to .300 RUM
I used a long action for mine. Not sure why this couldn't be used on a short action bolt but I haven't looked into the specifics of it either.
Savage Arms Bolt Head Long Action Model 110 to 116 Push Feed Small Firing Pin Hole Right Hand Magnum 7mm Remington Magnum, 300 Winchester Magnum - MidwayUSA
It's just a stripped bolthead so you may want to also get a second set of the internals for it, unless you want to swap all the parts from bolthead to bolthead with each barrel swap.