don't be afraid of the finished weight, my stubby little ranches in chassis at 8 1/4 lbs when you throw the Harris 9-13 swivel bipod on gets to 9 lbs (before ammo) makes it an amazing experience actually shooting, 6.5 ft/lbs or less recoil energy and watching everything in the scope is amazing, it will be light enough regardless your optic/base/rings solution but more has it's benefits so don't choose your solutions based just on weights, you'll just see more in the scope with more weight, if you end up 7.5 lbs, expect about 2525 fps from hornady black then about 8.2 ft/lbs recoil, add 3/4 lb bipod and about 7.5 ft/lbs recoil, get to see lots happen in those ranges
Lol I choose all my "shooting solutions" based on weight. I have scoped rifles between 13lbs all the way down to sub 6lbs and they all have a different application.