Using URL Snooper:
1. Start URL Snooper.
2. Select your network adapter on the Options tab (it needs to be done once).
3. On the search tab hit the "Sniff network" button.
4. Play your stream (you shouldn't browse the net at the same time to reduce the number of URLs found).
5. The list of URLs will appear. You may filter URLs using the "Protocol filter" drop-down list or you may filter them by keyword (like "akamai", "mms", ".flv", ".wma", etc. - only without quotes).
6. Right click on the URL and select "copy selected URL(s) to the clipboard".
7. Paste the stream URL in your stream recorder.

p.s. As you can see, You need some brain and to use it