Not that I'm anyone that really matters but I agree with Broz 100%!!!
I now mount everything in NF bases and rings. Or, at the least, NF rings when a NF pic rail isn't available for my application.
IMO, if you do it right the first time, ie. NF pic rail & NF rings, you won't ever have to worry about it again. So, do yourself a favor, get a NF picatinny long action rail and some .885 or 1.0 NF rings and be done. And, if you ever decide to turn that 270win into something else, that setup will hold up to any chambering you could turn your long action Remmy into.
None of the good stuff is ever cheap but look on the bright side, you already bought the really expensive part. The rail and rings will seem like pocket change compared to that scope.