I've got to respectfully disagree, Erik. The OP did not say he was going to compete in f-class or BR with the rifle. So for what he wants to do, I think the Savage is more than adequate. I have a Savage 12 BVSS in 22-250, factory original, trigger under one pound (I've never tested actual pull), consistent, and smooth. Like your signature line, I'm the limiting factor and the gun shoots better than I can. I've shot .1s on a couple occasions with it.
The OP will have as much money spent on a Kreiger & the McMillan stock as he would on the complete Savage. And I'm willing to bet the Remington build won't out shoot the Savage - barrel length and twist being equal. Now if the Savage isn't available in the twist he wants, then its a moot point.