Hello! I have planned a last minute one-day trip to Magic Kingdom on 6/7. Of course, we were unable to get a fast pass for the Mine Train or to meet Elsa and Anna. Our plan is to be there when the gates open and high tail it to the Mine Train. Would it be rational to think that after that we could stand in line to see Elsa and Anna without having to stand in line for a crazy amount of time right after riding the Mine Train?