Just as a side note, Shields Up from GRC is not - through my experiences - the most accurate of port testers. I have a pretty deep-set mistrust for Steve Gibson, though that's irrelevant to the current topic.
The best way to find out what ports are open would be to talk to the campus IT staff. You can even - assuming you can pull it off - coach the idea as "Hey, I'm trying to download these Linux ISOs through BitTorrent and I can't make a good connection - do you have any ideas on how to make it work better?"
They may be more sympathetic to that goal than "Hey, I'm trying to swipe the latest video game off the internet, help me?"
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