If they use Flash Player, most probably they broadcast RTMP or RTMPE streams, so you can try to record them with RTMP recorders and RTMPE recorders.

It is hard to schedule RTMP streams. But there are programs that can do it. WM Recorder is the most powerful RTMP stream scheduling program I have found so far.

The problem is that no programs I have tried can reconnect to RTMP or RTMPE streams. So it is probably better to use programs that allow to capture RTMP/RTMPE streams like Replay Media Catcher, freeware CooJah, Orbit Grab Pro, rtmpsuck. Screen video capture software is another good option for live streams.

p.s. I suggested to record at work since scheduling could be problematic. However if you have a remote access to your home PC, you can launch recording from your work.