Not appropriate for Bootstrapped websites. Use Ajax Search Composite instead.
Offers a list of countries to search by. Best to offer a link via a menu option to get to this page. Set the url to something like http://www.domain.com/index.php?option=com_jomres&itemid=NN&task=funky_search_country.
Note, this feature uses the basic search settings from the integrated search feature, so you will need to enable searching by features in Jomres Admin Cpanel -> Site Configuration -> Integrated Search tab if you want to use this plugin.