Very cool! I would suggest one additional rule for a scenario I was worried about, that thankfully did not happen. What happens when 2 people are equally distant from the score? i.e. one person chooses 206 and another person chooses 208 and the score comes in at 207. I would suggest an additional rule like "for ties under beats over" - or in the example above 206 would beat 208 if 207 comes up.
-Paul