I agree with the diet for the wood idea. Not only will you remove some weight but it will feel better in your hands.
If you must scope it use a short fixed scope like the Leupold 2 & 1/2 x or their older 3x and the Talley one piece ringmounts. I think you can get the scope & mounts down to less than 12ozs.
If you want to get radical, you can remove some wood under the butplate by hollowing out the butstock some but be careful not to mess up the balance. And fineally you can cut the barrell back to 16 & 1/2" and give it the half mag treatment.
I believe you could end up with a scoped 336 in 30-30 that will weigh about 6 & 1/2 pounds.
There ya go, now Get er done,