Cook the sweet potato tots according to the package instructions.
Preheat the broiler to high.
Put the cooked tots in an even layer on a parchment-lined baking sheet and sprinkle with the shredded chicken. Pour 1/2 cup BBQ sauce evenly over the top and cover with the cheese. Broil until the cheese is melted and bubbly, 3 to 4 minutes.
Drizzle with the remaining 2 tablespoons BBQ sauce and garnish with fresh scallions. Serve immediately.