I'd much rather see a CT story involving Shran.
And also I'd like to see if this place can cross the boundaries of universes or timelines. Could there be a Mirror Universe story set there? (Can characters from both universes interact there - i.e. is there only one Captain's Table throughout all of the multiverse?) Or how about Abramsverse? Could we see nuKirk, nuSpock, nuPike, etc. in the CT?