How to direct my site to the proper URL without Dashboard

Fixing this through the database is the best way to regain access to your Dashboard. Since it sounds like that you only changed the site URL and nothing else, do the following:

  1. In your database (via phpMyAdmin) go to the wp_options table and you’ll find the site and home rows
    Site & Home URL
  2. You should see http://web.site/home/home in either one or both fields, change it back to your original URL http:web.site/home/

You should now be able to access your Dashboard again.