Cook the pasta. Bring a large pot of generously salted water to a roaring boil. Cook the manicotti to al dente according to package instructions. Drain the manicotti, then toss lightly in a tablespoon of olive oil.
Make the crab stuffing. While the pasta is boiling, combine the lump crab meat, ricotta cheese, mozzarella cheese, parmesan cheese, roma tomato, basil, and parsley in a mixing bowl. Stir to combine.
Make the sauce. Melt the butter in a medium size pot over medium heat. Sautè the garlic for 2 minutes, then add the heavy cream and bring to a light boil. Reduce the heat to a simmer, then add the parmesan cheese. Stir the pot for 1 minute until the cheese is melted. Remove the sauce from the stove.
Stuff the manicotti. Use a small spoon to stuff the manicotti shells. Work from both ends to make sure it is stuffed completely. Grease the bottom of a baking dish with 1 tbsp of olive oil. Place the stuffed manicotti in the baking dish, then pour the alfredo sauce over the pasta.
Bake the manicotti. Preheat the oven to 350 degrees, then cover the baking dish with aluminum foil. Bake the manicotti for 25 minutes. Remove the dish from the oven and serve immediatley. Mangia!
Notes
Use 3 extra tablespoons of heavy cream in the alfredo sauce if you plan to refrigerate, freeze, or reheat this dish.