This is basically what I ended up doing, but it was still pretty tense. For one thing, I always double checked with my partners to make sure they were still feeling it, and hadn't changed their minds, forgotten, or double-booked the flight. Even with pre-arranging the dance card, there was a huge element of uncertainty as to whether we'd be happy with a particular set of prompts, how well we'd work together, and the ever-present time issue.