Hello,
"Is it possible to get a demo version with full functionality for a month with a view to further purchase?" --- -- yes, it is.
You can use Intel`s free OpenCore Plus evaluation feature/Intel FPGA IP Evaluation mode, here you can able to generate the time limited programming files for all the designs even that includes the megafunctions, refer the "OpenCore Plus Evaluation" from the link below,
https://www.intel.com/content/dam/www/programmable/us/en/pdfs/literature/ug/ug_asi.pdf
https://www.intel.com/content/www/us/en/programmable/support/support-resources/download/megacore-ip.html
https://www.intel.com/content/dam/www/programmable/us/en/pdfs/literature/an/an320.pdf
How much will it cost if the university is acquired?-------- for license related queries please visit to self service licensing center(SSLC),
https://www.intel.com/content/www/us/en/programmable/support/support-resources/support-centers/licensing.html
Regards,
Vicky