You might want to check out Sharp Shooters Supply, they make a laminate stock similar to the Tooley MBR, they also have a stock that they call the "Dog Tracker" and it is very nice. They mostly work on Savage rifles, but from time to time they will do stocks for other guns. I know they have done Pandas, Bats, and many different actions. Something else to consider they stay super busy so sometimes contacting them can be a bit hard, and there will be a bit of weight involved.
For a weight system they drill two holes in the butt of the stock that aluminum tubes are inserted, and held in place by the recoil pad. You then take the tubes and fill them with lead, to balance things out. Once filled you can cut the tubes down, and remove or add weight as needed, you would have to fill the empty space with cut dowel rod, if you remove weight to keep everything tight so that the tubes don’t clunk back and forth. The amount of weight would depend on the stock used, by in my gun I found that each weight, full weighs in at 3lbs, so that would give a total of 6lbs, and the ability to tune down, as much as needed.
When I shoot the 600 Nationals the scales we have at home showed my gun at 16.8 lbs, but the scales at the Nats showed my gun at 17lbs, I just barely passed, but it was nice knowing if it did not I could easily remove weight, but taking off the recoil pad, and taking lead out.