OK, here you go. This is a direct rip of the HE-AAC stream from the BBC internet stream. You need something that supports HE-AAC playback, otherwise you'll just get the AAC-LC core, and it'll sound flat. iTunes 9 and later, and iOS 3.1 and later support HE-AAC. Also, iPods from Sept. 2009 and later.
http://www.mediafire.com/?oa4ppgok4kcfoyy
There will probably be a better version coming to RTSR later, but I know you guys can't wait.
Stimpee edit: Don't be confused by the jargon here. This is a 22mb m4a audio file and will probably play on any recent audio player. Its directly ripped from the stream, no re-encoding necessary.