In fact, when the student machines will be able to launch a local http server (something hopefuly SP3 should enable), there shouldn't be issues anymore.
The local server part is handled by C2.
If you still have troubles, you can try a "workaround" installing a software like wamp on each machine.
It's a local server too, and what you will need will be to export the projects to the www folder set in wamp's configuration.
Then from the browser you will go to localhost (or http://127.0.0.1) and you should be able to browse through the exported projects and execute them.
It removes the "upload to dropbox" from your previous workaround.
It's still tedious, but it can help.