Sorry for the delayed response.
Right now, the SCLogin module doesn't have any way to render itself in a standard Joomla menu. That's something we're looking to do in the future. With that said, you can use the "User Menu" option in the SCLogin module to show a standard Joomla menu that you've created. That's what we do in the top right of this site for the "My Account" button. Simply create a Joomla menu and tell the SCLogin module to show it.
If you're interested in that, let me know. I can tell you how to get the Logout button to show up in that menu pretty easily.
I hope that helps,
Alex