So I was just trying to figure this out so I can listen to Buck Sexton with my XBMC live instead of just via podcast later. And I want to listen to Doc Thompson tonight on his "24 hours in 27 hours but only 21 hours straight" broadcast for Oklahoma. So with a combination of that RTMPdump and this:
http://forum.xbmc.org/showthread.php?tid=93280
You should be able to get it. That strm file should play in other programs, though I'm not sure. I hope that helps.
EDIT: I just got home from work so I could try this out, and it works great. But it looks like the STRM file won't help you any. BUT for anyone who might care in the future:
rtmp://cp7417.live.edgefcs.net/live/ playpath=prn_beck_ic_pri@86194 pageURL=http://www.theblaze.com/wp-content/themes/TheBlaze/blaze_radio/player/ app=live/ swfUrl=http://www.theblaze.com/wp-content/themes/TheBlaze/blaze_radio/player/player_brn_v3.swf swfVfy=true live=true
If you put that in a text file, renamed to "something.strm" it will play The Blaze Radio in XBMC or anything that will play STRM files. Follow that link to create your own from an RTMPdump.