While a break is not in itself the problem it is usually disruption and harmonics that are affected. You can tune a comp and actually get better groups than without. BUT, most don't go through this process and get worse groups by just installing-screwing on a break/comp.
Also agree that Criterion is the must have for proven drop in accuracy.
I call Shenanigans! Where is my broom? I run a Savage chambered in .260 rem with a Criterion tube. Shoots sub minute all day long easily. Also know of a over a 100 other Criterion owners with even better results. http://www.savageshooters.com/showth...terion-prefits
So with all this info, you have a built Savage right? And you have a Criterion right? And you have a break that has degraded your accuracy right? I admit that it will change harmonics, but so will a can. One may have to change load accordingly but it doesn't make an accurate tube inaccurate in and of itself generally.
I also run a Choate stock. There are options for the savage. Fun to build, for the DIY type. Might also look at the .338 edge if you like the .338 caliber. You have lots of options. Good Luck.
Didn't realize Fred was that far behind... it's been about a dozen years since I needed his services.
For a cheap laminate stock the Boys aren't bad at $97... they are available for detachable mag Savages