When I was a junior in high school and computer lab monitor, I made a suggestion that we install VNC on every computer and it was green lit by the administration. We used an app that could view thumbnails of all screens at the same time. I only enforced the "no porn" rule. Kids could play games, browse the web and I accepted fake hall passes. But if they were watching porn they would be thrown out and banned.
You're assuming it would broadcast long enough to find the station, not a hit and run operation. And even if there was a constant signal, they could be using a repeater.