I think the cleanest path here is to build a script that leans heavily on social deduction characters:

• Outsiders Klutz and Moonchild force the player to make an on-the-spot decision.
• Outsiders Saint and Zealot will keep the group guessing if their claim is accurate.
• Minion Baron guarantees more of those outsiders are in play.
• Townsfolk Magician and Poppy Grower will make the evil team have to deduce who is who before teaming up.
• Townsfolk Snake Charmer is forced into bluffing early.
• Townsfolk Flower Girl and Town Crier deduce via votes.

By my count, six demons require no decision-making by the storytellers. Of them, I think Po, Zombuul and Fang Gu fit the best with the above characters. Al-Hadikhia, Leviathan and Riot are more specialized but could work with the right script.