It’s also used as gasket material. Maybe that would work. Remounting it, with a new gasket. Lowe’s has some similar tape used for gutter repair. Not sure if it’s pure butyl rubber, or asphalt based. You wouldn’t need much. An inner tube, cut to fit would work.
If you are able to spray it, Lizard Skin has a huge following in the automotive restoration market and is the best heat blocker you can spray. LizardSkin
Had a friend spray the inside of a sprinter van he uses for dog training. He was not happy with the sound difference. But if it really blocks heat it would be awesome. Guarantee it would make a sound difference though. It is really hard to quiet down one of those vans. Imagine this with a mat on top of it.
I didn’t do any dynamat. I put two layers of the 1/2” thick click together foam rubber flooring under my wood floors. I 3m spray glued the foil bubble wrap at HD all along the sleeper fiberglass cap. I wouldn’t do it again unless the interior was coming out anyway. Out of all my Western Stars, my 2000 was the loudest. My 13 is quieter and my 19 is super quiet in the yard idling (I’ve never driven it more than a couple miles). The biggest bang for the bunk would be dynamat on the doors and the metal underneath the bunk.
For various reasons I learned to wear ear plugs when sleeping. I'm a light sleeper. When I worked nights and slept days I wore them at home. It takes experimenting and practice using them before they are comfortable enough to wear while sleeping. For $10 you can buy 50 pairs at Walmart or Amazon. I use the Mack's slim-fit foam earplugs like these. There are also the sillicone blob type earplugs. These can be much more comfortable and quiet, but they get dirty and may only be used once, depending on your tolerance for dirt.
I’m not sold on the dampening mat. As mentioned it’s heavy. Good for thin areas, doors especially to cut down vibrations. I guess if someone had a big subwoofer, it would be more applicable. Thick dense foam, seems to be best for sound deadening, and insulation. Still deciding what to use for the sleeper walls. Has to be lightweight. I just got a 10’x25’ tin foil bubble wrap blanket, leftover from a load of water. Think I’ll use it, Price was right.
I had a leftover chunk of dynamat from an older project, did the back wall of my pickup with it, unless you do everything, it transfers sound to other areas. I think people get more noise reduction by lining doors first, then moving from there. There's a stereo/car tuner I was following on Youtube for a while, he did just the doors on his vehicle. and showed the sound reduction before/after.
www.dynamat.com They do make some lighter weight stuff than normal, but there is also a cost to it, and yes, the more you apply, the more of the interior you need to remove
honestly, some vibration grommets might stop the rattle and quiet it enough you don't need to tear apart your truck.