If you can afford them, try the Flat Line 151s, They will not have the recoil of the 175 gr., and have a BC that thumps anything short of a Berger 180 Hybrid. They are roughly the length of a 180, so if you are going to be feeding them from a .308 magazine, it may not work.
If you call Warner and talk to Dan he might be able to tell you what the seating depth would be from a 7/08.
Jeffvn