What is the English term for a Belgian non-university higher education institution?
Apparently this is the same kind of institution as the German "Fachhochschule", which is usually translated as "university of applied sciences". The Wikipedia article about "Hogeschool van Amsterdam" seems to confirm this: "The Hogeschool van Amsterdam, University of Applied Sciences (HvA), or Amsterdam University of Applied Sciences ..." See also their English website: http://www.amsterdamuas.com/

However, you might still need to explain this in more detail to those not familiar with the Dutch, Belgian or German education system.