My friends and I used to play this game, with a variation: it was called "who do you get to help you hide the bodies" although there is psychological difference, in that while you are completely vulnerable in that scenario also, you are asking who do you think would be willing make themselves vulnerable as well, for you.
Your scenario is more about giving someone absolute power over you. Interesting. I think there are exactly two people I would trust with that. I'm married to one of 'em.
You know what would be a more interesting observation? See if there is any correlation between demographic and response. I would absolutely love to graph this across age, ethnicity, social class, etc.