Modify Features Post Type to only allow publicly queryable posts, but disable archive and single feature posts

gistfile1.php

add_action( 'init', 'modify_existing_post_type', 50 );
/**
 * Modify Existing post type.
 *
 * @access public
 * @param string $token
 * @param string 'Features'
 * @param string 'Features'
 * @param array $supports
 * @return void
 */
function modify_existing_post_type () {
	$labels = array(
		'name' => _x( 'Features', 'post type general name', 'woothemes-features' ),
		'singular_name' => _x( 'Feature', 'post type singular name', 'woothemes-features' ),
		'add_new' => _x( 'Add New', 'feature', 'woothemes-features' ),
		'add_new_item' => sprintf( __( 'Add New %s', 'woothemes-features' ), __( 'Feature', 'woothemes-features' ) ),
		'edit_item' => sprintf( __( 'Edit %s', 'woothemes-features' ), __( 'Feature', 'woothemes-features' ) ),
		'new_item' => sprintf( __( 'New %s', 'woothemes-features' ), __( 'Feature', 'woothemes-features' ) ),
		'all_items' => sprintf( __( 'All %s', 'woothemes-features' ), __( 'Features', 'woothemes-features' ) ),
		'view_item' => sprintf( __( 'View %s', 'woothemes-features' ), __( 'Feature', 'woothemes-features' ) ),
		'search_items' => sprintf( __( 'Search %a', 'woothemes-features' ), __( 'Features', 'woothemes-features' ) ),
		'not_found' =>  sprintf( __( 'No %s Found', 'woothemes-features' ), __( 'Features', 'woothemes-features' ) ),
		'not_found_in_trash' => sprintf( __( 'No %s Found In Trash', 'woothemes-features' ), __( 'Features', 'woothemes-features' ) ),
		'parent_item_colon' => '',
		'menu_name' => __( 'Features', 'woothemes-features' )

	);
	$args = array(
		'labels' => $labels,
		'public' => false,
		'publicly_queryable' => true,
		'show_ui' => true,
		'show_in_menu' => true,
		'query_var' => true,
		'rewrite' => false,
		'capability_type' => 'post',
		'has_archive' => false,
		'hierarchical' => false,
		'supports' => array( 'title', 'editor', 'excerpt', 'thumbnail', 'page-attributes' ),
		'menu_position' => 5,
		'menu_icon' => ''
	);
	register_post_type( 'feature', $args );
} // End register_post_type()