If you want to go a step further, the other custom barrel makers often let you choose the barrel grade. You'd have to call them to see if they can chamber it for you without having the gun? They should be able to for the Savage, since you set the headspace with a headspace gauge and the barrel nut.
The advantage to going this route is they will let you specify the grade. Douglas, for example, will let you choose to buy a barrel from a blank that was extra straight and that was air-gauged to be within a ten thousandth of nominal diameter throughout the length of the bore. You can pick how much you want to pay that way.
I've had the experience of getting a less expensive replacement that had a bore that wandered about twenty thousandths off straight in the center, but I've had good ones that were cheap Garand barrels, too.