I believe the problem is that I can't find the correct URL for the stream. The best I can do is get a .swf URL with
URL Snooper 2 but according to Stream Recorder, that is just the URL for the Flash Player that they use and not the actual stream URL.
Replay A/V does not give me any URL at all and
Replay Media Catcher does not have any option for capturing a URL. It just has a record button. So if anyone has a better way to get the stream URL I would love to hear it.