I think it would certainly make sense for an organization to cater to players who want to be done in early June,. At ages before middle school, Vacations, camp, family all come before lacrosse. There are plenty of players who would be attracted to such a club. Any takers. Don't make kids have to choose at such a young age.
That would be nice but there don't seem to be too many tournaments to pick from that early in the year. Most start after the PAL season ends to avoid conflicts.
