I really dont want to sound ignorant,and if thats the way you take it then Im sorry.
I may have a solution------Why not put all the regulars into one hat,and draw teams of 10 or whatever,and put the not so regulars into a hat and draw there teams.
I do agree with buckeye about the problems we had last year with guys sighning up to play,only not to show all season.
Or maybe better yet---get at least 5 "regulars" per team and 5 unregulars.That should make it fair,probably even out in the long run.