The skinny,
do you need an all factory gun?
Savage benchrest stocks have a thicker non-standard butt stock, so you will need a wider rear bag,

nobody will laugh at you, go out and have fun, I shot my first NRA high power with a Saiga AK with factory tigger vs some custom ARs with Gisselle/high dollar trigger worth more than my complete gun.

What I have learned von here:
Trigger is it

Before you commit, go out and try a target accu trigger, I like the accu over a lb but set lower, I need to get used to it, maybe I am just spoiled by all the CZs with set triggers.

Caliber: 6 mm br will do the job, cheap to shoot, long barrel life (per shot barrel cost), efficient cartridge.

Here is the shot list:
1. Lapua brass
2. Wilson seater
3. bushing neck dies.

Buy a factory savage with the target action, in your choice caliber or with correct bolthead if you are going to switch barrel.

Hope that helps.