How do I open the "Find Users, Contacts, and Groups" dialog without using Rundll32?

If you want something clickable, you can create a .bat file with the following:

@echo off
start Rundll32 dsquery.dll OpenQueryWindow

Launch an Explorer window of a network server (Note that this may not work 100% on all operating system. The OS may need to be set as a file server for this to properly work.). The contextualized Explorer window will have amongst its taskbar hot buttons, adjacent to "Organize" pull-down menu, a "Search active directory" button. Click it - this launches Find Users, Contacts, and Groups - with "Entire Directory" as the default search home location.

Additional info: For non-server versions of windows you need to install ADUC Tools in order for the "Search AD" option to appear: