If its rattling, you have to pinpoint exact locations. If its still flexing after 1 or 2 layers of good quality CLD tiles then you might just want to seal it off from the trunk or do a 4th order blow through. You can still do wood if the surfaces are very flat and have very little bends or contours or else you'll just end up creating more rattle or just wasted efforts.. Fiberglass mat and resin is another way you can make the surfaces less resistant to flexing, how strong it is would depend on how many layers you want to do. It'll be better to do that for the trunk since there are many uneven surfaces. Normally 1 or two layers of good deadener can do the job moderately well.