The network wants to hire two principals and one assistant principal by July 1.
A search committee also plans to conduct initial interviews with two more candidates.
Gentilly Terrace Elementary School Principal Tracy Guillory is the latest to announce his planned departure, effective Wednesday.
Crocker has applied for a grant to help cover the legal and accounting expenses that arise during a school closing.
After operating below the state required seven members for some time, the board is ten members strong now.
The pilot program would serve overage middle school students ages 14 years and older who are identified as emotionally disturbed, learning disabled or who require other special education services.
The candidates include two CPAs, a retired school administrator, an architect, an engineer and a finance and real estate expert.
All Collegiate Academies schools have been housed in modular trailers since Hurricane Katrina, leaving parents and school leaders anxious to move into permanent facilities.
State funding cut would cost the school $140,000 next school year.