The flyout has some great options

It would be great if we could add 1 more to the list.. which is the link to edit the network settings for the site.. (example.com/wp-admin/network/site-info.php?id=XYZ)
This might be easiest to add as a new filter to add submenu item.. we can take the ID of the site, and then return any additional items that we want to add to the menu...
... note, in our case, we don't care about comments, settings, etc.. We would ideally have ability to remove some of the current ones and/or add shortcuts to edit site-info, clear site specific cache, and similar.