Dan,
To answer the questions that you asked; when you get the recoil pad off (making sure not to break that cute little tab) you will find that the stock is hollow, no need to drill. Unless you have a spare mercury recoil tube laying around that you have pulled from a shotgun, I wouldn't spend the money. Shot in a ziploc bag taped up will do the same thing. I would suspend it & fill the butt with expandable foam. It will change the balance point a little but it does address your concern.
Good luck,
Mike
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