Is it a single stack box mag or staggered feed box mag?
And the choate is not going to be the heavy part. The barrel is where all the weight is. The varmint contour barrel is not meant for walking through the trees with. Does the gun balance when you place in on one hand around the front action screw.
What will happen if you get a light stock, say a duramax or a savage take off with the right barrel contour is it will be so barrel heavy that you won't be able to keep it on target well in a standing shooting position.
In a savage SA your stock options are
Bell and Carlson
HS Precision
McMillian
Boyds Laminate
Richards Microfit Laminate
SharpShootersSupply Laminate
Savage Take off stock
Although the only ones that would be much lighter would be a synthetic Savage take off, maybe the B&C and HS.