I've own 3 Rugers M-77 mk II,300 win mag , 30-06 , and the most recent addition a .270. All of myrifles are stock out the box and all good shooters, they are not match rifles . Ruger actions are control feed vs push feed on the Rems and I tend to favor Rem triggers , but thats just personel preference.
I also have several Rems with my newest being a CDL in 30-06 that I bought a few months ago they too are good shooters .
Overall you wont go wrong with either .
Decisions decissions .....