I looked at my network information (using CMD and 'ipconfig /all') and my Primary DNS Suffix is blank. It looked like DNS Suffix Search List (which is [school].[college network].edu) was close to what I want, so I tried [computer name].[school].[college network].edu, but it didn't work.
I don't know what to try next. The IT department is very loose about web traffic, only blocking torrenting and game consoles (which half the school has gotten around anyway,) so I'm not sure if they would have anything to do with it, or if I'm just doing it wrong. How can I get this working?