The recording part is not that tough, there are a number of screen capture software options. This simple guide mentions TechSmith’s Snagit, I happen to like Movavi myself.
https://blogs.techsmith.com/tips-how...reaming-video/
Doing it on a timer would be a bit more difficult, but if you have someone that can login and launch your streaming show, and then press record, you should be all set.