You should consider a 6.5 Remington Mag AI or a 257 Weatherby/6.5 AI for a walk on the wild side....just for grins.
I had a Reamer made for the 6.5 Rem MagAI made 20 years ago, with a 29" barrel was shooting the Sierra 90's at 3900 fps into very tiny groups. Rifle shot so well my hunting parnter bought the whole kit & kabootle off of me after a month(he loved blowing up yotes).
Friend Gunsmith in Ga by the name of Bob Sutton(died of a heart attach while quail hunting) had his own wild cat following which was the 257Weatherby/6.5 AI and they slaughtered the deer with the 120g Sierra Match Kings at 3550-3650(26" barrels).
I personally would not screw around with the 270/308 case...waste of time even talking about it. A 25/308AI would interest me much more shooting the 80g Tipped tripple shocks. The best improvement on a 308 case is the 7/08AI, one whale of a round.
