Features / Usability

Interesting idea, but i don't think there's any way of doing that at the moment, you can only direct the results to a div of your choice on the same page.

You could make the search form hide when the results arrive with a bit of javascript, which might look a bit similar. Something like this maybe (untested)?

$(document).on("pageSearchReady", function() {
    $('#customsearch_0').hide();
});