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Roast chiles and tomatoes on baking sheet, 4" below hot broiler until blackened on all sides
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Remove, cover with towel and let rest 5 min. Peel chilis, cut into pieces. In separate bowl, peel tomatoes, chop coarsely, collecting juices
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Bring 2 quarts water and 1 tsp salt to boil, add rice, simmer uncovered for 15 min. Strain off water and allow rice to cool
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Meanwhile, heat oil in skillet, add onion and garlic. Cook 5 min. Add oregano, 1 tsp salt, chiles, tomatoes and juices, and simmer (5 min)
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Grease 8x8 dish, make two layers of rice, chili-tomato mixture, and cheese
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Bake at 350F for 20-30 min