"Keep things quiet with Gsport's Titan-Lite Sound Deadening Material. Special viscoelastic polymer material has twice the sound deadening capability, but is 40% lighter, than competitive asphaltic products. Use it in your doors, floor pans, roof panels, deck lids, and sheet metal panels. Flexible material stretches up to 100% of its original size to fit irregular spaces and shapes. Cut to shape and press in place. It's peel and stick design means easy installation with no tools required. Comes in 12" x 32" rolls in .075" thickness."
Looks like it's pretty expensive, though it sounds (no pun intended) like it should work really well...