We're trying to determine if there's a way to set the position of external tools such as LTIs in the Course navigation menu globally for all courses?

From what I can see we could utilize the Tabs API to reorder the menu items but that would very inefficient as that would require one call per course and we have thousands of courses.

If there isn't a way to dictate the position of an external tool globally is there a way to do so with a custom LTI? From what I can see the LTI navigation options only dictate whether the LTI appears in the account or course menus.