Heat 1 1/2 teaspoons oil in a large skillet over medium-high heat. Add shrimp; sauté for 4 minutes or until done. Remove shrimp from pan.
Add 1 1/2 teaspoons oil and garlic to pan; sauté 1 minute. Carefully add vodka; cook 1 minute. Add marinara, 1/4 cup basil, cream, salt, and pepper; bring to a simmer. Stir in pasta and shrimp. Sprinkle with remaining basil.