Not sure you can get there with wood stock someone else may be more experienced with wood.

I have a McMillan edge, SS classic .308, Swarovski z3, sk steel mounts and I am at 7 lbs 4 oz. I could make some different choices and get closer to 7lbs.

Here was my weights you could add your scope and stock weight and see what you are looking at.

Action and barrel 4lb 3.3 oz
BM,screws, mag 7.4 oz
SK mounts 3.4 oz

I think my McMillan edge was about 28 oz