Varying the header size on a specific page?

Hi,

I am trying to create a welcome page for my site, which fits with the look of the rest of the site. My idea is to create a static page where the header is basically double the size (I am thinking 500px ish?), as a way to create a title image for my site, but keep the same navigation bar and general page format.

I am using the Twenty Ten theme (my working site: https://www.exquisitecorps.org/site2/), so creating a featured image for the header of this page is no problem, I am really just wondering how to change the header size for a singular page.

I have been working with the code a lot to customize the site, but my knowledge of css and php code is still very piecemeal. I know how to change the header size in functions.php, so if someone can help fill in the code to make it differ on a certain page, that might do it! Thanks!