Responsive install with background image

I am trying something new for me. I would like to have a single image as home page with a menu at the top and logo at the bottom. I want to try this to improve the loading of the home page and have people go directly to the content from the menu,

I am open to themes and plugins I would need to accomplish this.

Here is an example of the effect I am trying to get:
http://norcalmales.org/logo.jpg

Thanks,
gk