Sourdough,
Just finished putting a Bell and Carson stock on a 1903 Springfield, the out side of the stock was nicely finished. The inside was a bit rough, I glas bedded the action full length and the first two inches of the rear of the barrel to improve the fit, then floated the remainder of the barrel..
The first group with 150 grain Speer Ballistic tips went into .751 inch at 100 yards, this was from a new Springfield 30-06 barrel never put on an action made in January of 1944 with less than 15 rounds through the barrel.
Unless you get the model with the full length aluminum bedding block, I would glas bed the stock to gain strength and improve the fit. My experience is the the ones without the full block need glas bedding. And I believe that glas bedding would not hurt those with the full block either.
I installed a Hogue stock with the full length aluminum bedding block on a Mauser with a Shaw Barrel and it shoots between 1/2 and 3/4 inch without glas bedding it.
I had to shorten the front trigger guard screw on the Springfield, the Bell and Carson stock is not as thick as the military stock there, it bottomed out before fully securing the trigger guard to the action in the stock.