Override WooCommerce files from plugin

You would use my answer from this post to change the template: Redirect woocommerce single-product page

Then you could use the following functions in your functions.php file to change the header and footer only on that template:

function themeslug_footer_hook( $name ) {
    if ( get_page_template() == "Your Page Template"  ) { 
        <!-- New Footer Content -->
    }
}
add_action( 'get_footer', 'themeslug_footer_hook' );

function themeslug_header_hook( $name ) {
    if ( get_page_template() == "Your Page Template"  ) { 
        <!-- New Header Content -->
    }
}
add_action( 'get_header', 'themeslug_header_hook' );