Thanks for clarifying the ATFQ, no offense taken.
As for me being an engineer, I am not an aeronautical or mechanical engineer, so please do not think I am an expert, I am not. I am a dumb electrical engineer.
I will try to get a better answer to your direct question.
BTW here are links to planes with balanced stabilators, I looked for about 15 seconds and found 2:
http://www.libertyaircraft.com/libertyxl2/specs.php
http://www.jodel.com/g-aydz.htm