I don't like recoil either, but that 7-08 in a well fitting gun should not be a problem. Cut it down if necessary and get the best Pad from Pachmayr or Limbsaver and use the lightest bullet.
I bought a .270 barrel instead and with the Recoil Managed Loads, it has a very mild recoil. Much like a .243, but slower. But then he can grow into the heavier loads with the same gun.
The Recoil Managed loads are not simply reduced loads. They incorporate a different bullet that expands at those slow velocities, according to Remington.
pepaw