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Most .308s aren't particularly finicky with respect to powder type or charge, and normally I've found that almost any reasonable load shoots well. 4320 produces good velocity with 150/155s, but you my find that its a bit quick to produce the kind of velocity you expect from a 168.
Back a few years ago shooting hunter class benchrest, powder of choice for top shooters was H 4895, and Imr 4895, with 168gr sierra's the Hornadys should work well.
I know at Connaught fellows shooting TR in 308, use mostly Varget, RL 15 some also use VT540 or 550
manitou
I have found IMR4320 powder to be very temp sensitive. I used it for my .308 and for my 30.06. I switched to IMR 4350 it seems a lot more consistant.
Thats just my experience, some people will most likely say I'm off my rocker!