There's not anything in the SCLogin module we can do to change between the index.php and index.html files after the user logs in. That's a server configuration or Joomla configuration issue. The server should be setup to load index.php files first, if they exist. Inside Joomla, if you have SEF URLs setup, you'll need to make sure that there isn't a redirection somewhere that's trying to load index.html.
I hope that helps,
Alex