Ok, I think I came up with a working solution. Here’s the code:
https://gist.github.com/solepixel/e8f09b9ba781502f893274ff8bf6dcf1
Basically, each settings page needs a menu_slug and that menu_slug should have somewhat of a consistent naming convention to identify settings pages with common field groups.
Then, the settings page also needs a way of identifying the unique values, in my case they’re associated with Post Type Archives, so I’m using the Post Type.
I make sure the screen matches one of the desired settings pages, then I prefix the field with the Post Type, so I can grab the specific field setting in my theme. Hope that helps someone.
