BuddyPress.org

I am trying to create a site where some menu items are visible and accessible to general public, while BuddyPress items (though also arrayed in global navigation when logged-in) are only available for members.
Is there any menu access control plugin to make such, or do I need custom coding?
Ideally the solution should be flexible enough to make some other non-BuddyPress items (like member schedule) as members-only, as well.