Not sure what ranges you might be shooting at but I think in today's market the 6.5 Creedmore might fill the bill. It seems to be the Mac-Daddy ballistic wise and will have much less recoil than the others mentioned. Certainly the 308, 7mm-08 will also work well. If recoil is an issue I would stay away from the 270 or the 270 WSM.
Just my opinion. Good luck.