Prepare the brown rice noodles according to package instructions until al dente, then drain and set aside.
In a small bowl, whisk together the tamari, lime juice, chili garlic sauce, and honey to create the zesty sauce base.
Heat the toasted sesame oil in a large skillet or wok over medium-high heat.
Season the shrimp with sea salt and black pepper, then sear in the skillet for 2 minutes per side until pink and opaque.
Push the shrimp to one side of the skillet, crack the egg into the empty space, and scramble until just set.
Add the cooked noodles, shredded carrots, and the prepared sauce to the skillet, tossing everything together for 1-2 minutes to coat.
Stir in the mung bean sprouts and green onions, cooking for 30 seconds until the sprouts are slightly softened but still crisp.
Transfer the mixture to a plate and garnish with crushed peanuts before serving.