I am a Remington fan. That said, if you are going to keep your rifle bone stock, I'd give the Savage the nod. I bought a Remington 700 SPS Varmint in .243 specifically as a project rifle. Got a great deal on it at $400 delivered. The SPS stock is junk; I replaced it with a Grayboe Renegade. The X-Mark Pro trigger isn't junk, but it's nothing to write home about, either; I replaced it with a Timney. Took the rig to my gunsmith and had him pull the barrel, square the receiver face and bolt, set the barrel back and re-chamber it in .243 Ackley, and bed the action. So my $400 rifle is now a $900 rifle, not including optics. Initial load development suggests that it will be a better-than-0.5 MOA rifle. But your stock Savage is likely to be pretty close to that out of the box with good hand loads.
Newtosavage is correct about Remington throats. I also have a Remington 700 LTR in .308. While it shoots sub-MOA, the throat/freebore is longer than I'd like; I can't reach the lands even with a 190 grain SMK. That will be fixed when I eventually re-barrel it.
Bottom line: buy the Savage (you'll like the 6.5) unless you like projects. I remain a Remington guy. My next 700 will begin as a trued action on which I will build what I want with a McGowen or Criterion "Remage" barrel.