No 168 grain .308 caliber bullet will have a high BC, simply because it is an awkward shaped bullet. Very short and wide. It's like the humpty-dumpty or weeble of the .308 bullet world.
I would imagine the best BC would be the Berger 168 VLD. They shoot great out of my .308 Win, so I have zero complaints about them. My .308 likes pretty much anything I've put through it. I had an old box of Hornady moly coated Match ammo that I wasn't planning on getting much use out of, from back before I reloaded, so I figured I'd shoot them up. It HATED them. It was barely grouping about 1.5" with it. That's the worst I've ever had Hornady group in ANY of my rifles, ever. But I gained 20 match-grade brass out of it, and I had long since bought the ammo, probably 10+ years ago. So I considered it free brass. As if I don't already have enough .308 brass just sitting around.
Unless you have a specific need or purpose for shooting the 168gr bullets, I suggest you give this a try, if you have an 11.25" or 10" twist. Try working up a load with the Berger 210 VLD's. It won't be the fastest car on the track, but it's certainly a juggernaut with some hard-hitting energy.
I shoot the 210 VLD's with Varget, Lapua brass, and Federal 210 primers, and it puts 5 inside of a dime @ 100 yards.