BktBallRef wroteBut with privates that have no district boundaries, they can pick/choose a coach/school without having to move.
We have the same problem here with our Catholic high schools, and our new magnet, and charter, high schools. No district boundaries. These schools do belong to our state interscholastic athletic association and do participate in our state tournament. They aren't allowed to recruit based on athletic ability (wink, wink). Every year someone suggests that they have their own tournament division, outside the normal divisions based on school population. This suggestion never seems to go any where.