You might be interested in the FakeTV project on Github, specifically "Psuedo Channel". I found it a while back searching about basically the same idea (i.e. "how could I simulate something like TV but provide all my own content").

I haven't tried it out yet, but it seems to be an implementation of the basic idea, and it's in Python, and we're on HN, which means it's a fair bet that you could figure out how to tweak it to your specific desires if you wanted to!

https://github.com/FakeTV https://github.com/FakeTV/pseudo-channel