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Preheat oven to 375 degrees F. Line sheet pan with parchment paper.
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In large mixing bowl, combine flours, Italian seasoning, salt, pepper, baking soda and baking powder. Using pastry cutter or large fork, stir in butter until mixture resembles coarse sand.
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In separate mixing bowl, whisk together yogurt and milk until smooth. Stir in cheese and chopped bacon.
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Mix wet ingredients into dry ingredients until dough forms. If dough is sticky or wet, add more brown rice flour; if dough is too dry, add more milk or yogurt.
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On well-floured surface, knead dough one minute. Cut in half; form into two 1”-thick circular mounds.
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Place dough mounds on prepared sheet pan; cut each mound into eight slices.
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In small bowl, whisk egg. Brush over each scone.
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Bake 28 to 32 minutes, until tops are light golden brown and center is cooked. Let sit 30 minutes.