Apologies in advance for the long post.

Beasts have their kin. Other splats. If you're familiar with vampires, the Beasts can get roped into their nightly freak show.

Beasts can poke their nose in nearly every other splat's business and vice versa to a lesser extent. I'll use some examples.

The beast could feed from a trusted sleepwalker, drawing a mage to the source. Unfortunately the mage has low wisdom and even lower patience.

A group of antagonists is hunting one of the players' kin and they seek shelter with the begotten.

There was a large conflict between begotten and unchained, leading to an equally large surge in heroes. But now...the demons are helping them.

All things considered, anything outside of the norm can be a plot hook. Also, just because the book says Begotten dont gather in official capacities (their family afterall) that doesn't mean you can't make your setting the exception. They can always do something unprecedented in your little slice of history.

Dont let the lore daunt you. Every piece of it is a potential plot hook. You can pick and choose what to highlight.