I recently talked to Cinema 4D people. They give every student a free license.
So why not do the same for FileMaker.
e.g. give everyone who signs up with name and email and student ID card a free license to FMPA.
It may be limited to do no ODBC/JDBC, no peer to peer database sharing and consume a connection with a server.
But it provides all the debugger, data viewer and layout editing features.
So it can be used locally with anything the student needs.
And university can buy license for server if they need to do something in production.