1. Put peas into a medium saucepan, and cover with water by 4 inches. Add bay leaves, savory sprigs, carrots, and crushed garlic. Bring to a boil. Reduce to a simmer. Cook, partially covered, 10 minutes. Season with 1 teaspoon salt. Cook until tender but not mushy; begin checking after 10 minutes more (cooking times will vary). Drain. Discard bay leaves, savory sprigs, carrots, and garlic.

2. Heat 2 tablespoons oil in a large skillet over medium heat. Add sliced garlic; cook until fragrant but not brown, about 1 minute. Add shrimp and 2 tablespoons water. Raise heat to medium-high. Cover, and cook, stirring occasionally, until shrimp are opaque and water has evaporated, about 3 minutes. Add pea mixture, remaining 6 tablespoons oil, and the vinegar. Season with salt. Stir in chopped savory. Cook 1 minute more. Remove from heat. Serve warm over lettuce, garnished with savory sprigs.