I don't have any solution for Replay Media Catcher (RMC) 3.11.

RMC 4 allows to record BBC streams in the RTMP recording mode. It does it in real time and you need to have your web-browser open.


WM Recorder 14.8 works just fine with BBC streams in the WMX mode. And the Loopback Stream Recorder that comes with it, works fine for me in the Download mode. It works very fast and allows to download 30-180 minute streams in a dozen of seconds.


Blader works fine with BBC streams as well. It works fast.


And I didn't have any problem downloading rtmp streams from BBC with rtmpdump. It works fast as well. See the following thread for more:
Using rtmpdump,rtmpsrv,rtmpsuck,RTMPexplorer to download BBC iPlayer radio & TV shows