I like the Boyd's stock idea with a good recoil pad and good bedding. I would add a mercury recoil reducer to be safe.
Also putting a heavier, better scope on would help also. If you reload, you could download slightly 100-200fps and change your recoil quite a bit.
Weight plus downloading would be best here. 300 Weatherby is a perfect Elk gun. Personally, I would target 12 -13 lbs with scope.