1. Preheat oven to 425°.
2. Combine mushrooms, zucchini, and 1 tablespoon oil. Set zucchini aside. Arrange mushrooms, gill sides down, in a single layer on a jelly-roll pan. Bake at 425° for 4 minutes. Turn mushrooms over; sprinkle with 1/8 teaspoon salt and 2 garlic cloves. Carefully layer zucchini slices over mushrooms. Bake at 425° for 6 minutes. Top evenly with cheese. Bake 2 minutes or until cheese melts.
3. Combine remaining 1 tablespoon oil, 1/8 teaspoon salt, oregano, and tomatoes.
4. Combine remaining 1/4 teaspoon salt, remaining 2 garlic cloves, milk, peppers, and beans in a saucepan. Bring to a boil; reduce heat, and simmer 3 minutes. Place mixture in a blender. Remove center piece of blender lid (to allow steam to escape); secure lid on blender. Place a towel over opening in lid (to avoid splatters). Blend until smooth. Add parsley and thyme; pulse 5 times or until well combined. Divide puree among 4 plates. Arrange mushrooms over puree; top with tomato mixture.
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