I propose a setting along the lines of "turn order determined after selecting tickets", perhaps "turn order determined by selecting tickets", where whoever selects their tickets first goes first, whoever selects their tickets second goes second, etc. This is in the spirit of the original rules ("the most experienced traveler goes first") in that the more skilled player would likely be able to select their tickets more quickly.
This option would reduce the role of luck. The first-mover advantage (~63% win rate in my opinion but closer to 55% according to others) would more often be in the players' hands, excluding the cases where you can't determine who actually went first (e.g. players' pick times are within 1 increment) and default to the existing approach (random tiebreak). Additionally, the power of the first-mover advantage would be dulled by the opponent having more time to select tickets (~54% win rate).
Such a setting would also increase the skill ceiling - right now, there is no difference between a player who takes 95% of their thinking time to pick their destinations and a player who can spot the best combination of destinations in a few seconds.
This option would reduce the role of luck. The first-mover advantage (~63% win rate in my opinion but closer to 55% according to others) would more often be in the players' hands, excluding the cases where you can't determine who actually went first (e.g. players' pick times are within 1 increment) and default to the existing approach (random tiebreak). Additionally, the power of the first-mover advantage would be dulled by the opponent having more time to select tickets (~54% win rate).
Such a setting would also increase the skill ceiling - right now, there is no difference between a player who takes 95% of their thinking time to pick their destinations and a player who can spot the best combination of destinations in a few seconds.