for the chat, i doubt it will be possible to bridge them easily. I get the feeling that if you find the HLs stream of your server, you will be automatically routing it to zap.stream via your own...
I'm sure there is a way to do all this without zap.stream, but so far i haven't found any ready made tools. I fear it might involve running a node and crafting a post with some cli magick. But we'll get to the bottom of this!
Yeah you're right about the HLS, it's pretty straightforward having both running. How are things developing with Peertube and V4V?