Of the many suggestions you might receive, I'd start with a relatively low buck solution. Try foil-covered attic insulation. It comes in a roll at your local home center. However, it won't stand up to exhaust heat. You'll need a better material for that, but it can get expensive.
Air is a good insulator. Anywhere you can create a boundary layer of air between the insulation material/shield and the trunk metal. Try here:
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