Please donât use target bullets on game. Some have tried it, sometimes it works sometimes not. Not an ethical thing to do.
If I was to pick one load for all my hunting with the .308 I'd choose the 165 gr. Norma Oryx. Oddly, i have not used the Oryx in .308 but have had constantly excellent performance in .243, 7x57, 7x64, 30-06, 9.3x62, 9.3x74R, and perhaps a couple other cartridges. Norma ammunition has been completely flawless for me. And I long ago standardized my .308 ammo at 165/168 grains as the best balance of bullet velocity and penetration.