I just got this working in a theme by checking if we're on the archive page for an array of custom post types and then removing the feed link actions:
function themename_remove_feed_links() { if ( is_post_type_archive( array( 'gallery', 'client', 'testimonial', 'slideshow' ) ) ) { remove_action('wp_head', 'feed_links_extra', 3 ); remove_action('wp_head', 'feed_links', 2 ); }}add_action( 'template_redirect', 'themename_remove_feed_links' );