Grilled Mushroom and Malanga Salad

Name: Grilled Mushroom and Malanga Salad
Ingredients: 1 pound large shiitake mushroom caps; 3 portobello mushrooms; 1 pound button mushrooms; 1/4 cup balsamic vinegar; 2 tablespoons olive oil; 1 tablespoon minced garlic; 2 tablespoons fresh thyme leaves; 1 tablespoon chopped fresh rosemary leaves; 1/2 cup thinly sliced shallots; 1/2 cup thinly sliced scallions, white and green parts; Salt and freshly ground black pepper; 2 1/2 pounds malanga, peeled and sliced 1/2-inch thick; 11 ounces fresh goat cheese, crumbled; 1/2 cup white truffle oil; 2 cups vegetable oil, for frying; 12 slices ripe, red beefsteak tomatoes