Re: New to LR Hunting .308 advice
I'm a big fan of the .308 Win for a lot of reasons, but it's good to remember that it's no .300 magnum. Muzzle velocity is on the low side, so if shooting at long range, it is advantageous to shoot a bullet with a very high BC, for "free" downrange velocity.
Take a look at both the Berger VLD and the Hornady A-MAX. They're target bullets, made for long range shooting. Loaded right they'll provide excellent precision. With their high BC figures, they retain velocity well at longer ranges and drift less in the wind, both are good attributes. Both have also been shown to have good expansion on game.
The last couple of mule deer bucks I've taken have been with the Berger VLD, and a couple of friends swear by the A-Max for their longer range shooting.
At ranges of about 400 or 500 yards or less, any of the quality conventional hunting bullets like the Sierra Gameking and the Nosler Ballistic Tip will do a fine job. The real high BC bullets like the Berger VLD and the A-Max are just a good way to stretch the effective range of the .308 Win.
Until you determine what your rifle really likes, I'd recommend bullets in the 165/168 grain weight range, Varget powder (work up to Hodgdon's max w/care), Winchester or Lapua brass and CCI or Federal match primers. I've shot various combinations of these components to NRA High Master level scores at 600 yards. They're good and accurate.
Fan of the .308 yes, and a long term user of the same, but I recognize the limitations of the modest size cartridge for long range hunting.