Option Menu -> Set Cash -> Elizabeth -> 74 or lower Place Token -> Elizabeth -> Up 4 (chance spot) -> start game Elizabeth start -> roll snake eyes. Might be faster.

After some testing, I can confirm that Elizabeth rolling a 2 to luxury tax rather than rolling a 3 to Baltic Ave is 16 frames (0.533 seconds) quicker to end the game.

The question now is if Elizabeth can even roll a 2 on the first move.