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How do you like the idea of using a set of templates? Let's say there are currently 18 templates.
Players take turns selecting templates:
for example:
Player 1 - 000 Spider
Player 2 - 111 Jebus
Player 1 - 001 6lm10a
Player 2 - 110 Diamond
Player 1 - 011 Skirmish
Player 2 - 100 8xm12a
Player 1 - 010 Nostalgia
Player 2 - 101 x3dm1
Then, in the game, we determine the template using a coin toss, just like in the "Charity" tournament. Cities are randomly assigned, and then there's a bidding war for the city. We don't change the color after the restart because the groups play in two rounds.
The only question is whether it's worth re-selecting the template and re-randomizing the cities and holding a bidding war after each restart. With 113 restarts, it will take quite a while.