I have done this but I used homemade sugar cookies and rolled the dough just a little thicker. I imagine if you used the roll type and cut them a little thicker than normal it would work. I used popsicle sticks, cut the cookie and slid the stick in and baked with it in the cookie. Allow to cool completely, then gently ice the cookie and decorate.
I displayed mine in a flower pot filled with the floral foam. I placed alittle piece of foil over the foam to cover it, and then put about half a cup of teddy grahams over that for effect. The kids loved them. So did the adults. You can also bag them individually using little celophane baggies and ribbon.