AJAX advanced search for Wordpress

Looking for a Wordpress plugin that will allow the user, without reloading the page, to filter posts by date, taxonomy term, post type, and search term. It can be new or based on an existing plugin or script. Results should be selectable with arrow keys/return. The search form should be able to run with different options on different pages of the site: for example, a full-featured version with all taxonomies on Page A, and a version with Category X pre-selected on Category X's archive page. (It does NOT need to be able to run more than once on a page.) The setting of options should occur on an admin options page, or via shortcode/shortcode parameters. An example of a search with the desired functionality is here: [login to view URL]