Yes, it can be installed on a network. I teach Dreamweaver at a university in London, so I know that it definitely works. But I'm not a systems admin, so I don't know the details of how it's done. However, the following should be a starting point for your sysadmin: http://www.adobe.com/devnet/creativesuite/enterprisedeployment.html.
My other issue is we only need it for 15 students, but the smallest license package we can find is for 250. Needless to say, we cannot afford to buy 250 license when we will only use 15.
Thanks for the help