Why not let the computer science students take a crack at building some of those systems? Maybe not the an HR system, but why not a course registration system? Maybe not for the whole university, but maybe for just the computer science department?
The university would get work for free and the students would get real-world practice with building production code.
I get that there would be risk, but if it was under the supervision of professors (who hopefully are good at building, not just lecturing theory), I think there is an opportunity there.