Static landing page needed to improve user experience

I need a good static page that mimics the header of the site. I can build the page but I am not sure how to use it within WordPress. I hate to build a static HTML page based on the header so I would prefer something that uses the elements.

Please see the website and look at the header. The client wants the header with the menu to appear without the ability to scroll!

I realize this may be a project but if anyone wants to help I am willing to pay!