I am no expert but agree with what has been written that a .308 is sufficient.

A bit of trivia:
I have reloaded for several .308 rifles with 165gr Accubonds or Partitions loaded to the Nosler Reloading Manual max with Ramshot Big game that will duplicate the velocity of the same bullet in my 30-06, both rifles having the same barrel length. The caveat is that not all rifles like that specific load. My A7 .308 does but my A-bolt does not. That is why my A7 Edge stocked is my go to handy dandy rig. FWIW, early model A7's had a lightweight stock that closely matches the weight of an Edge.