TL;DR - Look into Gyration mice. Story below:

Many moons ago, I helped an older couple who unfortunately got vastly oversold on a Windows XP Media Center Edition computer from Gateway, when all they needed was a simple computer. The computer had a real nice Hauppauge capture card to act as a DVR, a neat amplifier looking PC case, and all sorts of bells and whistles. For a pointer device, Gateway included a Gyration mouse, which operated on 2.4 GHz RF, and worked surprisingly well. It used a trigger to activate gyroscopic mouse movement.

Turns out Gyration is still in business! https://www.adesso.com/product/gyration-air-mouse-go-plus/