Preheat oven to 375°.
Heat oil in a large nonstick skillet over medium heat. Add mushrooms, onion, thyme, and 2 garlic cloves; cook 10 minutes, stirring occasionally. Add wine. Bring to a boil; cook 1 1/2 minutes or until liquid almost evaporates. Remove from heat; stir in crabmeat. Set aside.
Peel and devein shrimp, reserving shells. Cut each shrimp in half lengthwise; cover and refrigerate. Combine reserved shrimp shells, 2 cups water, celery salt, and fennel seeds in a small saucepan. Bring to a boil; cook until reduced to 1 1/2 cups shrimp stock (about 15 minutes). Strain stock through a sieve into a bowl; discard solids. Set stock aside.
Combine goat cheese, cottage cheese, basil, juice, and 1 garlic clove; set aside.
Lightly spoon flour into a dry measuring cup, and level with a knife. Place flour in a small saucepan; gradually add milk, stirring with a whisk. Stir in shrimp stock; bring to a boil. Reduce heat; simmer 5 minutes or until thick. Remove from heat; stir in Parmesan cheese.
Spread 1/2 cup sauce in bottom of a 13 x 9-inch baking dish coated with cooking spray. Arrange 4 noodles, slightly overlapping, over sauce; top with one-third goat cheese mixture, one-third crab mixture, one-third shrimp, 2/3 cup sauce, and 2/3 cup mozzarella. Repeat layers twice, ending with mozzarella. Bake at 375° for 40 minutes or until golden. Let stand 15 minutes. Sprinkle with parsley.