Preheat your oven to 400 °F.
Line a baking sheet with parchment paper or a silicone baking mat.
In a smaller bowl, mix together the non-dairy milk and orange juice and set it aside
In a mixing bowl, whisk together the flour, sugar, baking powder, salt, baking soda and orange zest. Add in the chilled coconut oil and using a fork, cut the oil into the flour mixture until a coarse meal forms.
Mix in the chocolate chips.
Gradually add the orange juice and milk mixture to the flour mixture and stir until a moist dough forms. Add more non-dairy milk if necessary to get all the flour to combine into the dough.
Pour the dough out onto lightly floured work surface and knead the dough briefly.
Form the dough into 1-inch-thick round. Cut the dough into 8 wedges and then carefully pull the wedges apart and place them on your prepared baking sheet 2 inches apart from each other.
Bake the scones until the tops of the scones are slightly golden brown, about 18-20 minutes.
Remove the scones from the oven and allow them to cool for a few minutes while you prepare the orange glaze.
To make the orange glaze, whisk together the ¾ cup of powdered sugar with 1 tablespoon of orange juice. Continue adding orange juice 1 teaspoon at a time until you get a thick, yet spreadable consistency.
Cover the top of each scone with the orange glaze until all the glaze has been used up.
Serve immediately.