In a large skillet, heat oil over medium-high heat. Cook and crumble turkey until browned. Add chili-garlic sauce, lime juice and zest, soy sauce, peanut butter and honey. Stir until meat is coated with sauce. Toss in peanuts, cilantro and mint and remove from heat. Spoon into 1 cup section of meal prep container. Place lettuce leaves in 2 cup section.
To serve, spoon meat mixture in lettuce boats and top with shredded carrots.