Matt: Not sure what your expectations of accuracy are but, I'll go back to my original thinking. The accuracy is in the barrel.
(and loads) Once the bolt is closed, it's up to the barrel and ammo to do the rest. Taking in to consideration that the trigger puller knows what he's/she's doing. :

Working up loads is a BIG part of the deal. If you shoot long enough, you'll know when you pull a shot. :-[ The Savage has a floating bolt head that will align itself to the back end of the barrel. If the action is out of true, how can you tell? It's a Savage. Go shoot it. ;D
I've got untrued Savage actions with "aftermarket" barrels (and nothing else done to them) that will shoot bugholes all day long if I've got the right loads and can hold still long enough to get off a good shot. (5 shot group,off the bench from 100 yards that you can cover with a dime on a regular basis.) Some days are better than others.

If you like the idea of T&T, shoot your rig for record then send it out and get it done. I think the biggest part of T&T is an easier bolt lift?
You can have a bunch of $$ invested in the slickest-coolest looking rig you'll ever see but if you don't know how to shoot it or make good ammo, it's just a good looking rifle. 8)
Kinda like hot rods. How fa$t do you want to go?
Your $$ could be better spent working on "accurate" loads and
lots of trigger time. And I'am no expert so take this for what you paid for it.

JMHO, Mike.