Browsing network shares from behind a router.

I'm in a dorm. In my room I have a desktop and an ancient laptop. Since the Resnet only assigns us one IP, I use a router to connect both PC and laptop to the internet. Swapping off the router is not simple because of a buggy as shit activation process the ResNet service uses to bind to a MAC.

Is there a way to browse network shares even though I'm on my private subnet? I'm not in the mood to violate my universities AUP, so no uber-fast IP range share scanner type progs.

>>2
Filtered by what devices?
Just to be clear if I'm not behind the router I can see shares fine. It's just that the activation process makes it very difficult to swap back and forth between router and direct connection.