Preheat oven to 450°F. Line a 15x10x1-inch baking pan with foil. Arrange mushrooms and tomato halves, cut sides up, in the prepared pan. Sprinkle with garlic and oregano. Drizzle with 1 tablespoon olive oil. Roast, uncovered, for 20 to 25 minutes or until tomatoes are soft and skins begin to split and mushrooms are light brown.

Meanwhile, cook pasta according to package directions, lightly salting the pasta water; drain. In a large bowl whisk together 2 tablespoons olive oil, vinegar, and pepper. Add warm pasta to bowl; toss to coat. Let cool to room temperature, stirring occasionally.

To pasta mixture, add tomato-mushroom mixture and any drippings from the pan, beans, and basil. Toss to combine. Serve at room temperature on four serving plates. Top salads with shaved Parmesan.