It's my understanding that (at least the old) 40x rimfire set up were Rem actions the merely had slightly offset receiver nose threads so the pin in the center of bolt would hit the rim of the cartridge when the barrel was threaded in per normal. (It would have had to have a modified bolt face and extractor obviously.) Setting up the barrel in your Savage short action would not be much trouble for a basic machinist. A man could order a full diameter unturned barrel blank and machine the shank and threads eccentric enough to make the centerfire bolt hit the rim of the round, and the barrel would be profiled to match the lines of the receiver correctly. Beyond that, a machinist could make an threaded insert to go into the receiver threads, then thread the inside of the insert off center to create offset pin strike of a standard/concentric shanked/threaded barrel also.
It's the bolt head where the trouble, higher skill and fatter wallet would be required.
Unless your pocket are so deep you can tuck them into the top of your ankle high socks...I recommend you go the route I did.
I got my centerfire competition (F-class, PRS, Extreme long range, ELR hunting) rifle set up exactly like I wanted it.
Then I built me a CZ 22LR in as exact a reproduction of my center-fire rifle as I could.
They both are in the same Manners stock, with the same scope, same stock pocket, same bipods...and I use the same rear bag.
The two are more than identical enough that the loads of training and practice time on my 22 trainer directly translates right over to my center-fire rifle, with no translation required from driving one rifle as opposed to the other.
I did that, oh 10 years ago? And looking back, honestly...the only thing that really matters when moving from a 22 trainer to your center-fire really is to have the same exact scope. When a man is in a hurry wether from the timer on the stage or the trophy animal is about to step behind cover...you need to know how your scope and reticle works, blind folded hanging upside down form the monkey bars: subconscious mental automation when it comes to manipulating the scope or using the graduated reticle. 2nd to that having identical scopes, the same bipod so a man could consistently learn just how much to pre-load that make of bipod, and the same rear bag for familiarity in just how to squeeze it would be helpful seconds, yes. But the rifles, in my decade of experience now don't have to be all that identical for training to relate between the two.
Best,
TM