Hi Terry:
For me, "felt" recoil is less in rifles that have a straighter stock, thus one with less "drop" at the heel.
One of the best things about Ruger 77 MkIIs is that they have a so-called "classic" style stock that has very little drop. My guess is the felt recoil would be less than with the Remington, but once you feel that ultra-smooth Ruger controlled-feed action, you won't even notice the recoil!!!
Good luck.