Hi,
It might be possible via custom coding, but I am not sure. Try adding this custom code to the functions.php in your theme/child theme directory. Before editing, please make sure to have a full site back-up just in case!
add_action('wp_footer', 'asp_change_post_type_target');
function asp_change_post_type_target() {
?>
<script>
var postType = 'product';
$(".asp_main_container").on("asp_results_show", function(event, id, instance, phrase, results_info) {
$('.asp_r_' + id).find('.item').each(function(){
if ( $(this).hasClass('asp_r_' + postType) ) {
$(this).find('a').attr('target', '_blank');
}
});
});
</script>
<?php
}
Change the postType variable to the post type name that you want to affect.