I have shot several deer with match bullets and so far have not had one move more than a few yards. Bullet placement is everything, have hit bucks as close as 105 yards and had a decent exit wound.
I suggest that you get some Hodgdon's Varget, load from 44.0 up to 46.0 grains with any of the 168 grain match bullets. Matchkings probably set the standard but some rifles shoot better with Hornady or Speers or Nosler J4's or whatever. Fact is you should also try the 175 Matchking, they are becoming the more popular bullet for getting the most out of a .308. The 155's are also worth trying, you can get them from Sierra, Nosler and in A-Max.
I believe that bullet making technology has improved the accuracy of "hunting" bullets significantly in recent years - there are several plastic-tipped boat-tails available that shoot almost as well as match bullets. They are cheaper to shoot and designed for expanding over a fairly wide impact velocity range - as in hunting...
We like an overall length of 2.830", that is going to fit nicely into most magazine boxes and seems to shoot very well. Better accuracy can probably be obtained a little longer, depending on your chamber.
Federal loads their match ammo with 4064, you might try it as a second choice to Varget.
Good luck, don't sweat finding a load for a .308 Win. that is usually the easy part. Make up a bunch of ammo and shoot it to get the skills and confidence to hunt long.