Adding a pressure point between the barrel and stock would possibly help, but I would use it as a last resort. Even then it's not a hard cut science. You would have to experiment with the location and amount of pressure. My first step would be trying a different load. Different bullet or a powder with a different burn rate will change barrel resonance.
Adding a pressure point is easy to try at the range though. All it takes is a business card.
Be sure your action screws are tight. If you ever remove the stock be sure you're consistent with the amount of torque you use to tighten the screws.
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