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I was brainstorming options for this and I thought of this:
Peel and Stick Laminate - Clear | Duck® Brand
It is a giant sheet of peel and stick clear duct tape, essentially.
What if you just cut a 19" circle and stuck it on the face of the rim? I know that it would not last for a really long time, but maybe for just one use or for a road trip.
One problem is that the area that is not in contact with the rim would be sticky and gather crud, but probably not more than a dusting.
There is no danger associated with them falling off or failing, other than litter.
Quick update. After driving with them for several thousand miles I was able to see a noticeable difference in energy usage. I never had the time to do a controlled test. I tried but it isn't easy to do two identical test runs with and without the disks to be able to measure the actual difference very accurately. But on the other hand, covered wheels aren't a new concept and many tests have been done before. There is a lot of data out there indicating the difference at highway speeds is between 4-6%.
I decided to take them off and have a professional company manufacture new ones for me including a better mounting system. Hopefully one that allows the disks to be removed quickly. That was the biggest drawback of my solution. I will update when I have the new disks installed.
I had an idea for attaching the pans without drilling the rims, drill and tap the tops of the lug nuts.
A much safer and simpler solution is to add a tapped hole to the end of the lug nuts. Then use a spacer bolt to bring the surface flush to the disc which is secured with a small button head screw. I've put together a quick assembly and rendering of this setup. It's easy to install and much less obvious when the disc is off.
View attachment 80243
Exactly what I was talking about, though the spacer could just be a hollow tube and use a longer bolt.
David, any updates on your new set of pans?
Awesome! So you've partnered with a shop to manufacture these? I can't wait to see a scientific test of these!