I ended up ordering one of the origami cases that are being sold on Aliexpress by several vendors, taking advantage of the Black Friday sales. There are very few third-party covers being sold on Amazon or other websites right now, and the pictures and reviews posted seem very positive, so I decided to take the plunge.
Here is a link. I'm doing fine with the sleeve, to be honest, but I used to have an original stand case for my Glo HD and I'm missing the ability to just prop the device up and read while I'm doing other stuff (eating etc.). I'll probably alternate them.