The .06 is certainly versatile, as is the .308 with ammo from surplus plinking to match target commercially available. Creedmoor will be more expensive to shoot, shorter barrel life and not much advantage inside 500 yards.

More importantly- , you need to consider barrel contour. A light contour hunting barrel is not suited to the long strings and heat that target barrels are subjected to. You'll spend most of the time waiting for the barrel to cool every few shots...
I call these dual purpose rifles "compromise rifles" because what you need isn't perfectly suited for either application but adequate. I usually recommend a light to medium Varmint contour to customers (unless ya got the coin for a Proof Research carbon fiber barrel).

The "Tactical" contour from Savage will be heavier than their "Hunter" contour- so regardless of the chambering- go with the heavier contour barrel.