I think that another reason that there are not enough games is because the summer season is so short...take this year's Legion season for example the season begins on June 15th and all district games must be completed by July 17th. This means that you must keep some dates open because all district games must be made up within 7 days of the rain out. Another major problem is that the season ends before August begins for many teams Legion and Sr Babe alike. This makes it very hard to schedule non-district games during the week in case of rain outs, and now add the fact that there are far too many teams which does water down posts.
I would love to schedule as many games as possible because that is how you get better you can take as many practice groundballs and swings as you want but nothing compares to live game speed. If the state were too extend the season into August I think a lot of these issues would be solved because teams would have more time to work with.