Gluten-free shortbread?

I've been working on a gluten-free shortbread recipe and, so far, I'm not impressed. Scottish shortbread is one of my favorite sweets, I always get a few boxes when I travel to Scotland and I aslo make them myslef when I run out.

Tomorrow a friend of mine, who is gluten-intollerant, is coming over and staying for a few days. So I;m wondering how to create this specialty for her. I would really love to bake one of my signature dishes for her as I haven't seen her in years!