[Theme: Twenty Eleven] Make Featured Image Header a Background

I want to make it so that when a Featured Image is displayed in the header that it is a background with the site title over it instead of being a link.

I’ve already achieved this with the randomly chosen standard header images by changing this piece of code in header.php

<img src="<?php header_image(); ?>" width="<?php echo HEADER_IMAGE_WIDTH; ?>" height="<?php echo HEADER_IMAGE_HEIGHT; ?>" alt="" />

into this:

<div style="background-image: url(<?php header_image(); ?>); width: <?php echo HEADER_IMAGE_WIDTH; ?>px; height: <?php echo HEADER_IMAGE_HEIGHT; ?>px;">	<hgroup>
				<h1 id="site-title"><span><a href="<?php echo esc_url( home_url( '/' ) ); ?>" title="<?php echo esc_attr( get_bloginfo( 'name', 'display' ) ); ?>" rel="home"><?php bloginfo( 'name' ); ?></a></span></h1>
				<h2 id="site-description"><?php bloginfo( 'description' ); ?></h2>
			</hgroup>
</div>

I am unsure how to edit the code for the Featured Images to achieve the same effect though.

I do know that I have to edit this:

<?php
					// The header image
					// Check if this is a post or page, if it has a thumbnail, and if it's a big one
					if ( is_singular() &&
							has_post_thumbnail( $post->ID ) &&
							( /* $src, $width, $height */ $image = wp_get_attachment_image_src( get_post_thumbnail_id( $post->ID ), array( HEADER_IMAGE_WIDTH, HEADER_IMAGE_WIDTH ) ) ) &&
							$image[1] >= HEADER_IMAGE_WIDTH ) :
						// Houston, we have a new header image!
						echo get_the_post_thumbnail( $post->ID, 'post-thumbnail' );
					else : ?>

Thanks in advance to anyone that can help me with this.

https://www.ads-software.com/extend/themes/twentyeleven/