- Mix together all three types of grated cheese. Layer the cheese and gluten-free bread in an oiled baking dish, starting with the bread.
- Combine milk and vermouth (or wine) and pour over the bread and cheese layers. Beat the eggs. Add the remaining ingredients to the eggs and combine well.
- Pour egg mixture over the bread and cheese layers. Let sit for 30 minutes. Place baking dish in a pan of hot water. Bake in a preheated oven (350°F) for 1 hour.
- Remove dish from the oven and let sit for about 5 minutes before serving.