Okay, here's the scene that's been going on in my head for the past few days. I think this might be something you guys call a "Plot Bunny"?
It involves Ichika, Tatenashi, Utsuho and Kaoruko. Set somewhere about a week after Phantom Task's attack on IS Academy in Vol. 5.
I'm not even sure if I have Kaoruko and Utsuho in character...
This part here is something I got from watching Episode 7 of Chrome Shelled Regios.