I think all those non-profit's should just open up. Get modern. Make everything public, discuss as much as possible online, ready for anyone to join in. Ofcourse, this doesn't work if they have something to hide, so first they should make sure they have good intentions and are acting lawfully across all their operations. Then there's no need for secrecy anymore.

I can understand the need for secrecy in a for-profit setting, but not for non-profit.

The management of big open source projects like Linux, Firefox or Drupal could be good examples for them.