Prepare the brown rice noodles according to package instructions by soaking in hot water until tender, then drain and set aside.
In a small bowl, whisk together the tamari, lime juice, fish sauce, honey, and red pepper flakes to create the pad thai sauce.
Heat the sesame oil in a large skillet or wok over medium-high heat.
Add the minced garlic and sauté for 30 seconds until fragrant.
Add the shrimp to the skillet and cook for 2-3 minutes until they turn pink and opaque.
Toss in the shredded carrots and bean sprouts, stir-frying for 1 minute to maintain their crunch.
Add the cooked noodles and the prepared sauce to the skillet.
Toss everything together for 1-2 minutes until the noodles are well-coated and heated through.
Garnish with sliced scallions and serve immediately.