Before ditching the .30-06 or the .270 try some of the managed recoil loads from either Remington or Federal. In my Savage 116 in .270 the difference between the 115 grain Managed Recoil load and the 130 grain full power load is very noticeable.

These loads claim to produce recoil equal to a .243 or .30-30, but with a larger and/or more efficient bullet.

Of course, this also has the added advantage of being able to step up to full power loads as you become more comfortable with the rifle.