Line some parchment paper on a large baking sheet while preheating the oven to 325°F.
Prepare a large bowl where you will mix the coconut flour, almond flour, baking powder, xanthan gum (if using) garlic powder, and dried oregano. Whisk together and occasionally add salt to suit your taste. Mix in 1 cup of grated cheese and stir again. Add the remaining ingredients such as egg white, egg, whipping cream, and ham and stir well until everything is well-combined.
Gather the dough together by hand and place on a flat surface covered by parchment paper. Press the dough until it forms a 10 by 8 inches rectangle. Top with the remaining grated cheese.
Slice into squares, making about 6 pieces. Cut these squares in half, diagonally slicing them to form two triangles. Arrange the scones evenly in the parchment-lined baking sheet.
Put in the oven and bake for 18-20 minutes. When the dough is golden brown and firm to touch, remove and allow to cool before serving. Top with chives and butter (optional)