Here is one way it could work where each team has to play each side in a scenario but against a different team each time. In this example my team was randomly assigned Axis to start:
R1: my team plays Axis in scenario 1
R2: my team plays Allies in scenario 1 but against a different team that was Allies in R1 (seeding?)
R3: my team plays Axis* in scenario 2 (seeded as per normal tournament)
R4: same as R2 with seeding
*or Allies but then plays Axis in R4
Re scoring each player on a team would accrue the same points each turn and would be represented as individuals on the scoreboard. To determine how a team is doing just add their scores together (suspect they will be adjacent on the scoreboard)
Anyway just a thought
Steve






