Long action Savage rifles are the hardest to get scopes on because they have a greater distance between the base mounting holes. You either need to find a really long scope, or use mounts that will help get the spacing closer. Several good ones have been mentioned.
I'm curious as to why you want to put a glossy scope on a rifle with a matte finish. You'll find many more options in a matte finished scope. To the best of my knowledge a Leupold VX-1 is one of the few in your price range. Leupolds also tend to be among the shorter scopes and you'll have trouble getting one to work without special rings.
Look here. www.SWFA.com