jon - you're on it. When developing the CS5 cabinet I explored custom ceramic tiles for the interior, attached with a researched mastic adhesive - it worked extremely well. There were two big problems. 1: it was too heavy to ship and handle. Dealer home delivery was the deal breaker. 2: the tiles were not always flat and the ratio and durometer of the adhesive layer would change the tuning of the enclosure depending on adhesive thickness variability, thereby changing the final tweak voicing of the system.
For your in-place situation, #1 may not matter. #2 is a small issue (and no, I don't remember adhesives options or winner 30+ years on.) It's worth exploring. Also, you will change the acoustic volume of the enclosure, but it won't matter a lot. I suggest finding the most active surfaces with your fingers or stethoscope and treating those. High likelihood includes the top and halfway up the sides. Please let us know what you do and how it works.
For your in-place situation, #1 may not matter. #2 is a small issue (and no, I don't remember adhesives options or winner 30+ years on.) It's worth exploring. Also, you will change the acoustic volume of the enclosure, but it won't matter a lot. I suggest finding the most active surfaces with your fingers or stethoscope and treating those. High likelihood includes the top and halfway up the sides. Please let us know what you do and how it works.