There are a lot of long nature videos on youtube meant for this purpose - some with relaxing music, some without. I'll occasionally play one on a TV when I know I'm going to be bouncing around the house all day, and it's nice.
I don't know of any actual livestreams like that, but some zoos have livestreams of their aquariums or exhibits that are cool too.
Yeah, the conspiracy-prone side of the internet has a lot of overlap between people who believe stuff about "the Jews" and also constantly talk about elite pedo rings (e.g. Pizzagate). They've really latched on to the Epstein case because it's the closest thing to a smoking gun for the latter.
These people are very angry at the Trump administration right now, so it makes sense to assume that's the profile of the hacker.
The Monterey Bay Aquarium otters are my favorite.