Place the brown rice noodles in a large bowl and cover with very hot water, soaking for 8-10 minutes until tender but firm, then drain and set aside.
In a small glass jar, whisk together the coconut aminos, fresh lime juice, and chili garlic sauce until well combined to create the zesty base.
Heat the toasted sesame oil in a large wok or non-stick skillet over medium-high heat.
Season the shrimp with sea salt and black pepper, then add them to the wok, searing for 2 minutes per side until pink and opaque.
Push the shrimp to one side of the pan, crack the egg into the empty space, and scramble quickly until just set.
Add the drained noodles, shredded carrots, and half of the green onions to the wok, pouring the sauce over everything.
Toss the mixture constantly for 2 minutes using tongs to ensure every noodle is coated and the vegetables are slightly softened.
Fold in the fresh bean sprouts during the last 30 seconds of cooking to maintain their signature crunch.
Divide the Pad Thai into bowls and garnish with the remaining green onions and crushed roasted peanuts before serving.