It won't be teams for the inserts, but could be for the base cards, depending on what everyone wants. The reason for doing it as a break where the inserts are handed out to everyone in a random order is that the the Greats of the Game are from only seven teams: Yankees, Cubs, Cardinals, Tigers, Red Sox, Dodgers and Reds. There are other inserts, such as the Nicknames and Decade Greats, but it would be unfair for anyone who chose one of those teams.
It's only $619 on Blowout Cards. So for 32 people at $21 per person, that would be $672, which would cover the case and most of the shipping to each person, which averages $1.50 to $2.00 per person from here.
Post a comment if you are interested in joining this case break. The last one went really well, and I think this would be a great product for all us vintage-heads. Let's try to get this together by this weekend so that we can do this sooner rather than later.