The Legion Go is basically that with some joycons and a screen. I keep mine in my entertainment center when I'm not using it handheld, and play plastic instrument games on the big screen.
Looks like this would be an easy entry point to a DIY Steam Machine that takes up ~no space under your TV.
It's not standard mini-itx. Since the physical form factors for their laptop boards are published publicly and are somewhat stable, are "desktop" cases for them.