In a bowl, combine the ricotta cheese, orange zest and super-fine sugar. Transfer mixture to a pastry bag or a re-sealable plastic bag, snipping the corner off to create a homemade pastry bag. Squeeze the ricotta mixture into each of the sugar cones, filling them all the way until the filling just bulges out of the cone.
Arrange the mini chocolate chips in a small shallow plate or bowl. Sprinkle the cones with the confectioners' sugar then dip the exposed cheese portion of the cone in the mini chocolate chips.