I used to program robots and design automotive industrial automation control systems. I programmed MANY robots just before I left that HELLISH industry (the pressure to get stuff done in UNREALISTIC timeframes increased every year - once all us 50+yo guys with experience are gone there is gonna be a PROBLEM).

ANYWAY, I programmed a bunch of robots that used rolls of 3M VHB (very high bond) double sided adhesive tapes to assemble stuff that used to be glued or even WELDED. Airplane control surfaces, refrigerators panels, large signs like the big Shell gas station signs, many automotive trim and panel applications. All took substantial environmental and/or temperature loads. Shocked no one has tested using some of these tapes. They aren't cheap but might be MUCH easier that installing staples that were factory installed with dedicated hydraulic staple guns. I get no less than 100 calls a month asking how to install these. Especially the the late 60's B bodies. Not sure why people would think I have any restoration knowledge on this. I dont even make them and if I did I wouldnt have an "installation" dept like a car stereo shop In all fairness I'm sure its hard to find restoration shops that have a dozen guys manning the "tech hotline" to offer FREE restoration advice.

PS IF someone decides to try the 3M VHB tape it'd be best to reach out to 3M tech support. Mention you are bonding EPDM (the rubber on the back of those cat whiskers metal strips) to steel. And you may need a "promoter"; a chemical that comes in a pen or cartridge that looks like a yellow office highlighter, that "promotes" adhesion. And some of these tapes get stronger with age. The are secure initially but achieve full strength after days.