the best way to replace a heavier older rifle is to place it back in the safe and then buy a Tikka T3x lite or even better a superlite.
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I second everyone else. But the Tikka T3x, or T3x Superlite. You could also look at Browning XBolt stalker, Howa Superlite or Howa Carbon Fiber as mentioned above. You could also ket a Kimber Hunter in the same ball park as some of these rifles. Cabelas has a .308 in stainless Browning XBolt for $599 used right now. If it were me... sell the Savage and buyt the Tikka