Why don't they just have 1 week before the patch when people can go to the plot they want and register a bid? When you bid, you all pay the same full price and the gil will be held by the system. During maintenance, the server randomly draws one bid for each plot and the plot is given to the lucky bidder. When server opens, gil for failed bids are returned in the mail.
Also let people see how many bids have already been registered for each plot, during the bidding week, and allow people to retract on their bids at most once every 18 hours without gil penalty. Each service account can only make one bid per server.
It's way better than making time zone the determining factor and becoming a disruption to real life schedule.
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Obviously, the even better solution is to stop this nonsence with limited availability.