We'll create fresh WordPress site with Custom Category/Post Type Post order installed. You have 20 minutes to test the plugin after that site we'll be deleted.
Custom Post Order Plugin is used to arrange posts in any custom order by drag & drop interface. It works with a selected category and custom post type both, each category or post type can have different order of same post. It also provide delete button to remove post from display but it does not delete it from wp_posts table.