Okay so this came from that Crossover I was rambling about earlier.
Matt from Death Note survives the shootings and returns to help Near solve cases. But they come across a murder case that is most unusual. It brings them to search for missing members J and K.
J- Johann Lieibert (Monster)- vanished from the House without a word or trace. The teachers acted like he never existed. Near said he was right after Matt in line of succession.
K- Right after Johann. Tsukiko Sago. (Paranoia Agent). K left the House after a mental breakdown and was adopted by a Japanese man. She grew up to be a famous toy designer but has very little recollection of her time at the House.
In the concept sketch Near and Matt have to work with Johann and Tsukiko to stop a brand new Kira.