I did not find an easier way and resorted to preparing an Excel spreadsheet with all of the beats and folders in the Complete Library. You can read all about my real life experience here:
You will find out where to obtain my spreadsheet for free and you can always print it. After working with the Ableton Live file for about a year and for hundreds of songs, I am somewhat comfortable and the listing has become somewhat familiar so I can usually zoom into the right beat fairly quickly. And since I only need to do that when I am learning and preparing a song, it is no big deal. Doing it live and on the fly? Forget it.