We've had other educators report success performing network installations. Every time StencylWorks loads, it'll automatically look for (and create, if necessary) a workspace directory in the user's home folder. So if the students' home folders are located on a network drive, this should "just work."
Give this a try, and let me know how it goes!
We're also looking into offering an MSI installer down the line, which administrators can use to remotely install StencylWorks across a network.