Why a 308? 6.5 Creedmore and 260 Remington are far better calibers if you plan on ever stretching its legs. I personally shoot 260 and have just recently gotten into large frame gas guns. I'm having a barrel spun up in 260 Rem as well.
If you want a factory 308 that will more than likely out shoot you look at the following.
Remington 700 AAC-SD (But replace the god awful stock they come with)
Remington 700 5R Milspec
Remington 700 Tactical Target
Remington 700 SPS Tactical (Again replace the rubber crap stock)
All 4 are great sticks and you can build whatever you want off of a 700 actions. Below are 2 of mine. The 300WM is a 5R Milspec with a bunch of changes and the 260 is a Crescent Custom built 260Rem on a 700 action
150yd target (by called I mean I said F&*K! lol)
Get into shooting some distances... You will fall in love!