RE: Accuracy on a budget !?!?
Within the price range you mentioned my personal picks would be a Tikka Whitetail Huner or T3 along with a Bushnell 3200 series scope or the Burris you mentioned. I think you'll find the Tikka rifles to be much more refined rifle than the Savage and on average better accuracy as well. I own several Savage rifles, but much prefer the Tikkas.