Soak glass noodles in room-temperature water for 15 minutes. Drain and cut into 3-inch pieces.
In a large saucepan over high heat, bring 2 cups of the water to boil. When the water is boiling, add the glass noodles and cook until transparent and soft, 1 to 2 minutes. Drain and rinse under cold running water to stop the cooking. Drain well and transfer to a medium sized bowl and set aside.
In the same saucepan, bring the remaining 2 cups of water to boil. Add ground chicken and using a slotted spoon to break up the chicken, cook for 2-3 minutes. Using the slotted spoon, scoop out the chicken and transfer to a strainer set over a bowl. Keep the water at a rolling boil.
To the pot of boiling water, add the shrimp and cook while stirring for 2 minutes. Drain and rinse under cold running water to stop the cooking. Set aside with chicken.
In a medium bowl, stir together the fish sauce and brown sugar until the sugar dissolves. Add the lime juice, garlic, and red chili. Stir well. Stir in the cooked noodles, chicken, shrimp and lightly toss to coat. Add the white onion, cilantro, mint, carrot, tomatoes and green onions. Toss to mix. Top with peanuts and serve.