4 players (2 pairs per team, or 2 teams of 2 playing together)
The person who mediates, keeps the peace, and ensures the group stays together year after year.
In a standard foursome, you might hit driver, then 7-iron. In a hurleypurley, you might hit a 70-yard pitch off a hanging lie because your partner hit a wayward drive. Spend 15 minutes before the round hitting punch shots and half-swing wedges. You will need them.
If you are developing this for a specific event, emphasize the high-energy unpredictable