In a large bowl, stir together the first six ingredients for the waffles. In a separate bowl, whisk together the next four ingredients. Combine the mixtures and stir until well blended. Fold in the remaining ingredients.
Coat a waffle iron with cooking spray and heat it according to the manufacturer's instructions. Ladle on 1/2 cup batter (the amount may vary depending on the size of your iron). Cook until golden brown, about 5 minutes. Repeat with the remaining batter.
Whisk together the ingredients for the avocado cream until smooth. Serve the waffles with small bowls of the cream, sliced scallions, and grated cheese for topping.