They're probably blocking the ports that are needed. There's no way to bypass this I believe, as you can't take control of the router in order to open the ports that are needed for uTorrent. But you could actually pretend to be downloading something like Ubuntu via Torrent from the official website (It's 100% legal) Then you could actually call tech support and plead that you need to use this (or make up some bullshit) and that you really need to download this. Although it probably wont work, it's worth a shot.
But when you ask them to open the port, they will most likely monitor the data that is passing through it, and you could get caught.