here is what I'm thinking, using a donor barrel with a lot of meat...
ream the stub at 1.055 (just a hair larger than the savage barrel, so it drops in a ways before hitting threads) to 1.5", then step the diameter down to the minor diameter of the savage barrel, and take that deep to ALMOST the extractor groove.
thread the smaller diameter to the savage threads.
then when you screw the barrel in, take it down to the ring you left at the base. open that ring up to be just larger then your cartridge base.
most rifles leave the case head unsupported anyways, so this should pose no problems.
screw the barrel in, and set headspace by either deepening the chamber, or if too deep already, taking off some of the breech end of the barrel until you have it where you want it.
snug it to a good hand tight, and index mark it underneath. that way, you can put sights on it if you want.
a scope mounted on the barrel would probably hold zero, but on the stub, may need to be rezero'd.
does this make any sense?