You don't need software to run this. A whiteboard and a steady weekly rhythm carry the framework fine. But three of the six components belong in a system: the daily loop, the scoreboard, and the billing tail behind every trip.
That's the part we built.Appiuslays out the day, reworks it when the 9am cancellations hit, and turns every finished trip into a clean claim and a live per-trip margin. The framework is free either way. Appius just keeps the loop and the scoreboard running when you step out of the room.