Just a couple of points. Firstly if the University router is detecting the client then shouldn't the first attempt from the home router be successful and then that particular characteristic stored? This is unless the characteristic did not recognise as a reasonable client?

2nd point guess could try another router but I don't want him to spend 30 dollars to find it doesn't work. This is especially given using Windows Internet sharing does work and if the previous posts on disabling quality-of-service works then there's a working solution anyway.

The best solution is if the University deploys WiFi throughout the hostel.