Well, I kind of answered my own question.
I still can’t figure out how to get my custom page to show up in the theme options admin, but I realized I can edit the source of my custom page to force it to use the sidebar I want. In my case I found the line:
<?php get_sidebar(); ?>
and changed it to:
<?php get_sidebar('sidebar-framework-toc'); ?>
(sidebar-framework-toc is the Sidebar ID as set in the Theme Options | Sidebar)
So I guess I’m good for now!