It is weird that I didn't manage to get the MP3 file from the browser cache. It is not an RTMP stream, regular HTTP protocol is used.

WM Recorder, Replay A/V and NetTransport had no any problem recording the stream. It seems like any download manager can download it as well.

The only problem is getting URL. Maybe WM Recorder, Replay A/V and URL Snooper didn't work with my network adapter only. Please try them.