How does the killer do its deeds without everybody knowing he did it? We all see the posts don't we? It would be pretty hard to WRONGLY pick a suspect if it is so. And is someone forced to kill? There's the chance that NO ONE with take the bait and be the first to kill. Have you seen the latest episodes belonging to the sequel of what you are basing this on? It's called Danganronpa 3: The End of Kibougamine Gakuen - Mirai-hen 
It would be way better to RP this since we all know the ending of the high school one.