AjaxSearch looking for document visible from Menu plus other doc

Hi,
I’m using the &hideMenu=`0` with AjaxSearch to search only in document visible from menu. That works fine. However, I’d like as well to include in my search other documents which are not visible in menu and not published. Is there an "easy" way to do this?
Thank you.

&hideMenu

Search in hidden documents from menu. (optional)

* 0 : search only in documents visible from menu
* 1 : search only in documents hidden from menu
* 2 : search in hidden or visible documents from menu

As 2 is the default value, the search occurs in hidden or visible documents.
To adds a search in unpublished documents change in includes/ajaxSearch.inc.php line 93 (doSearch function): by Keep in mind that the search occurs only in searchable documents (sc.searchable=1)

Thanks coroico!