There is an article in the latest "Rifle Shooter" magazine on this very issue. It is worth a look see. The author used a Remington 700 VLS and a Springfield Armory 6-20x scope. He put 3 rounds into a group size of 5 3/4" at 1000 yards with this setup.
I use a Remington 700 PSS (called the Police model) in 308 WIN. It is similar to the civilian models, such as the 700 VS and VLS except the Police version is a bit more refined for tactical shooting. I have been told that the actions are "trued up" and they use tighter tollerances. It also has a parkerized finish in matte black with a heavy barrel. The stock is a bit better than the civilian versions as well with a broader forestock and a nice palm swell. This thing was a tack driver right out of the box. It will shoot five rounds at 100 yards into .4 MOA outside edge to outside edge, using 150's. I haven't yet shot it beyond 300 meters but I hope to soon. This was with a standard Leupold VX3 4-14x scope by the way. I am still working on getting a tactical scope for it soon. The Police version is available through gun shops and costs about $200 more than the civilian model. I think they are worth the extra cost. If you are serious about long range shooting, spend lots on the scope.
As for Savage, I have looked at them but I can't buy one...to my eye, they are butt ugly and I have to like what I am shooting. Furthermore, I don't like the stock configuration on any Savage I have held but this is a subjective issue. To each his own.