Using default WP menu functionality to link to custom post-type listing?

Your best bet if you want them to show using the default drag and drop function is to register a custom taxonomy for the custom post type, http://codex.wordpress.org/Function_Reference/register_taxonomy.

You can also use the taxonomies parameter when you register your CPT function.
http://codex.wordpress.org/Function_Reference/register_post_type

The alternative is to make a custom filter for your nav menu that is populated from your custom post type, though in most cases I recommend the first option.