Don't skimp on the scope, trust me on that one. I would rather skimp on the rifle than a than a quality scope.
My go to gun is a stainless Remington 700 BDL 300 Untra Mag with a synthetic stock and a Leupold Vari-X III 3.5X10X50mm stainless scope. I have some ok scopes on some of my .22 plinking rifles, but there is a night and day difference between the optics. This Leupold is crystal clear and is also good for low light shots, because the 50mm lets in the extra light. You can drop anything from a speed goat to a moose/grizzly with that gun. It all depends on what bullet you use. I go with a 180gr Nosler Partition for most of the larger things.
http://www.leupold.com/hunting-shooting/scopes/
http://www.remington.com/