supermodel is a stretch, but I guarantee people would do her. Part of the celebrity factor, part of the tits factor. Seriously, if you are drunk, face means little.
I suggest 72 hours and a couple notices for the first round, 36 hours and a couple notices for the second round.
There will be several people who will make their selection like seconds after the team in front of them has picked, so this will give the team a chance to make their selection if they forget about their turn.