When I fold my edge clear around, I worry that I will damage the screen on the bottom, for example, by laying it on a fork in my favorite restaurant.

I picture a sheet of stiff plastic or metal with a screen-sized flet pad on one side, and velcro buttons at the corners that match ones on the two edge faces. Pop it on whichever screen you're not using, and you can lay the device down anywhere with impunity. Be nice if it were thin enough to leave in place when you close the edge, too.

I'm about to make one myself, but it won't be as classy as a professional job. I think I have a scrap of 18 ga sheet metal out in the shed, and my wife has some velcro, and fabric for the padding. She's an artist--maybe I can get her to paint a fancy picture on it.