OK, so after some reading I think I know what I need to do.
First would be a vibration dampener, Raammat or similar product- cover all resonant prone surfaces such as door skins, floor and roof.
Next layer would be a closed cell foam, like Ensolite or Luxury Liner Pro- Cover everything thouroughly. The Luxury Liner has a built in heavy vinyl noise barrier, so I think it would be the better choice, right?