That option does look like it’s missing.
Can you try adding this settings parameter to your shortcode?:
[wp_show_posts id="123" settings="orderby=menu_order"]
Of course, 123 needs to be replaced by your list ID.
I wonder what the UI would look like for a feature like that. Almost like a different excerpt length for items in columns vs full width?
As for the duplicate function, there’s quite a few plugins out there that achieve that. This being one of them: https://en-ca.wordpress.org/plugins/duplicate-post/