Advice on supporting screenreaders (fully) on a sliding widget (think iOS settings panels)

I am building a container with nested sliding sub-containers - which themselves will have their own set of nested containers.

Basically it will behave very similar to how iOS handles settings (see attached image).

I need some advice on how to go about this. What ARIA properties would you use? And how would you structure keyboard navigation?

.. is there an existing W3C recommended pattern I can lean against? Or do I need to re-invent the saucer on this one?