Currently we are setting up a Guild and Openraid site. We will be using the site for both Guild Bank Information and Openraid Bank Information. How do I setup a second Bank that is not a Guild Bank for the Openraid to keep them listed seperately.

You could make a character, and simply link to it's profile on the menu with a label something like "Openraid Bank."

This would exclude it from the Guild Bank interface on the page, but allow you to include it's information on the website through another mechanism.