I would love to have an amazing stock but I realize this gun is limited being built on the action it is and will never be a top competition rifle. That said it seems to win at the local matches you only need to shoot about 1/2MOA out to 187 yards. More than a few stock Savages have been shown able to do this.
Actualy the gun is limited by the user. Your action can be built to be a very competive gun, could it win at top levels, who know no one has tried it. The problem with the Savage platform is weight. I have built a dedicated bench gun out of a Savage action, ( identical to your Stevens) and I am on the fine line of the weight limit 10.5 lbs.
At the local matches I shoot at there is alot of savages that are winning in a factory or modifed classes, and are shooting well below a 1/2 moa. I cant say I have ever had a savage/Stevens that would not shoot under 1/2 MOA, if I did my part.