I would say 168 Sierra Match King HPBT. But try others as they may work for your gun. I just started loading for .308 and bought 168gr SMK, Hornady 168gr Match, and Hornady 165 BTSP. The sierra had the best group of .45" at 100yds. The hornady match was at .50". I believe better results could be gotten with a rear bag.
So start with the 168gr SMK. It is a proven bullet for the .308.
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