I don't have much first hand experience with Remington RP brass, but I have had mostly negative experiences when it comes to reloading Federal FC brass. In my experience, the Federal FC stamped cases shoot just about the same as anything else, but show serious pressure signs, and had extremely loose primer pockets at loads/velocities that have zero effect on Winchester brass.
Given your two options, and for hand loading, I'd definitely use the Remington.