I worked on a project very similar to what you describe. My project started with a used Savage F/TR, to which I added many custom components, including a stock which I finished myself. Here's what it looks like:
Savage target action(from the original F/TR)
Base Near Mfg. 12 MOA
Alphamount Near Mfg
Telescope S&B 5-25x56mm PMII P4LF
Stock SSS LV/T, ajustable cheek piece, front rail for bipod, bedded with Devcon 10110, Hiviz Xcoil pad, epoxy/Tru-oil finish
Barrel 338 Edge Brux 30", 1/9.5 twist, Near Mfg muzzlebreak.
Barrel Savage 308 Win original 30", 1/12 twist
Barrel 6mmBr Norma Brux 30", 1/8" twist
The original Savage 308 barrel is good for .5 MOA to 500 yds. The Brux 338 Edge averages .4 MOA to 400 yds with 250grs Nosler Accubonds - I have not tested it at longer distances. Also, I have yet to try the Brux barrel in 6mmBr Norma.