Not sure about any that exist already, but from what you have described, it sounds like you need a simple "asset management system", a plane or staff member being an asset, and the maintenance and keep of them being the management.
A decent programmer could probably design you a simple database for each thing, and a simple web browser based application to interact with the database, as in reading from it, writing to it etc.
Might not be useful to you at all, but thought I'd offer some help.
Good luck! Sounds a great adventure!
