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I found an interesting way to make GF fried chicken while traveling around
Louisiana.  There was a product for sale called "Chick-fry" which
contained only corn flour, salt, and pepper.  It made great breading for
fried chicken.  After the box ran out, I tried to duplicate the mixture at
home--with good success!

I typically use

2 cups of corn flour, finer grind is better (Goya works well)
1 tbsp salt
1 tbsp pepper

You can mix the seasonings stronger or weaker to your taste.  Coat the
chicken with egg before coating with the bread mixture.

On my Southern expedition, I even discovered a restaurant which fried
everything like this.  They didn't use wheat on anything, so I didn't have
to worry about cross-contamination.  Boy, was I in heaven!

Warren Anderson
Marlborough, Mass, USA