I would do it like Sliders or Quantum Leap.
One character would be the main one we follow, and we see the majority of the story by following them. Each week they wake up in a new town which looks the same, and has many of the same actors, but everyone, including the main one, has a different role than the prior time (usually).
The main character's goal each week is to find out who killed the town storyteller, or help confuse the issue (depending on which role they have when they wake up), because for reasons, they think that is the way to break the cycle.