I have two Rem 700 rifles and I have never encountered your problem, however neither of my rifles have the unaltered factory stocks on them.
I re-stocked my .375 RUM with a laminated stock that has a longer length of pull and is more of the Weatherby design.
I still have the Rem plastic stock on my 7 mm Rem mag, but I replaced the factory recoil pad with a 1/2" spacer and a 1" Limbsaver pad.
As with all of my rifles, I work up loads and sight-in my rifles off a bench, but then I do a lot of practice, especially at the 300 and 430 yard gongs, from a prone position.