You might not be able to since CC4C needs a direct link, and it looks like they are using a different approach. For example, if you peer down all the way into the player when you click Golf Channel, you'll see something like this:
You'd think you can take that link and then just open it directly, but that's not so. It's actually a trigger for another internal program, thus not accessible. Maybe the other stations will get live pages like CNBC and MSNOW that you can link to directly, but this is a very in flux situation, so it's impossible to say. SyFy's live page is linking to the USA one, so it might actually be going the other direction.
If you are going to stick with CC4C, your alternative option is to add some of the automation that can scroll the page, move the mouse, and click for you, but that could be as difficult as it sounds.