A few guys here have experimented with stiffening the factory plastic stocks and had varying degrees of luck. The problem area is around the recoil lug. This is where the stock usually flexes. To remove all the flex, some sort of reinforcement is needed to tie the action area to the fore end. Unfortunately, there's not a lot of room to fit something around the recoil lug.
If you find that it still flexes too much, I'd recommend getting a new stock rather than trying to fix it. I picked up a factory laminate thumbhole stock from Numrich a few years ago for about $170 shipped. Boyd's stocks are a little cheaper, but they need pillars.
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