The SCLogin module has an option to show any Joomla Menu you have configured. To do what you're looking for, create a new Joomla Menu in the admin area and add all the menu items to it that you'd like to display. Then, in the SCLogin module, configure the User Menu option to select the menu you'd like to appear for users that are logged in.
I hope that helps, but if you need anything else, please let us know.
Thanks,
Alex