I've built several rifles and use the HS Precision stock. I just did a build for a friend of mine that bought the "Tactical" Remington in .308.
We put a match grade Shilen barrel with a 1 in 8 twist and chambered it for the .300/221 Fireball which he shoots suppressed. He elected to keep the Hogue "Overmolded" stock on it because he likes the way it feels. While it is a great stock, as DarkVibe noted, it is a bit too flexible for a bi-pod if you are going that route. For a hunting gun it wont matter.
It's quite and feels good in the hand.
Unless you just want a .30-06, I'd go with the .308. The only advantage that the '06 has it that it can shoot heavier bullets. The .308 can do up to 180 grains but the '06 can do up to 220. For most people it is not an issue, but it can push the heavys a bit faster than the .308.
On the other hand, the .308 can kill anything that the .30-06 does, but with a lighter gun and a bit less recoil.