My Experience
I have shot extensively with the 308 in competition for a couple of decades. If you are shooting an M1a the “standard” powder is IMR 4895. I believe the cartridge was developed with IMR 4895. I have not used H4895, I understand it is shorter cut, and I prefer shorter cut to longer cut, so I would recommend giving that powder a try. I have also used kegs of AA2495, found the charge weight and velocities to be identical with IMR 4895. If your rifle does not shoot under a MOA with a load of 168 Sierra, 40.5 to 41.5 grains IMR 4895, LC cases, WLR, then you have a bad rifle.
I like the shorter cut powders. So while both IMR 4064 and IMR 3031 shoot just great in the 308, they do not throw as well. With a 168 Sierra 42.0 grains IMR 4064 or 40.0 grains IMR 3031 will shoot incredibly tight groups. IMR 4064 was the other “standard” powder in competition M1a’s.
I recently have been testing Varget and found it to be an excellent powder in the 308 bolt gun. I have been using varget with 190’s at long range and am able to get about 25 fps more velocity over IMR 4064 without pressure problems. I hesitate to recommend it for the M1a because when I did load testing, I got case head separations in the gas gun. That tells me Varget gives a higher port pressure than I want. Others have called me a fool and claim that their M1a functions just fine with Varget. Well, my experience is my experience. Varget seems to be a short cut powder, throws well.
While I prefer stick powders, the ball powder AA2520 was very popular for a time in the 308. I think it went out of favor because Accurate Arms kept changing powder vendors and each lot was a law unto itself. However that powder shoots excellent groups in a M1a, which means ditto for a bolt gun. Charge weight is the same as IMR 4895 and being a ball powder it will throw within a tenth grain. Stick powders will throw within a half grain. Not that it really matters for accuracy, it only matters if you are shooting maximum loads.
You will find that the 308 will shoot excellent groups with a wide variety of bullets and powders. It is one of the most forgiving cartridges around in that respect.