I could see a Fed HQ series working, in that it could have elements of both types of show (space station and starship). Most of the time it’s the setting for the Admiralty (Vance?) making the Big Decisions, dispatching various ships on missions and dealing with the follow through, along with the Federation President doing West Wing style stuff. But approximately once a season, some especially demanding crisis forces us to take Fed HQ to the scene and deal with something directly.