How far you planning to shoot? Inside of 500 yards I like 155 gr Lapua Scenar bullets. They are reasonably priced, very accurate and with a good BC for the weight.
At longer ranges a heavier 175-180 gr bullet would be a better option. I like the 178 gr Hornady ELD bullets.
I shoot both of those in my 308's with a near max load of Varget and get Sub MOA for 3 shots in 4 different rifles. I have twists of 10, 11,and 12 depending on the rifle and they all shoot those bullets equally well.
I'm a hunter, not a target shooter. I could probably tweak my loads and get near .5 MOA, but I average about .75. Close enough for me.