Arrange the bacon in a single layer on one side of the Blackstone. Cook the bacon over medium heat until crisp, stirring frequently, about 10 minutes. Push the bacon off to one side of the griddle or scoop it into the bowl. Discard most of the bacon fat, leaving just a thin layer on the surface of the griddle.
While the bacon is cooking, crack the eggs into a medium bowl and whisk well. Season lightly with salt and pepper. The bacon will add plenty of salt, so don't over-season the eggs.
Reduce the heat on the griddle to medium-low. Add the eggs and quickly stir and fold to scramble the eggs. They'll want to run, so you need to work quickly. Cook until the eggs are just set, about 2 minutes. Push the eggs off to the side with the bacon, or transfer them to a small bowl.
Arrange the tortillas on a flat surface (or you can do this right on the surface of the griddle). Divide the bacon, eggs, and cheese evenly among the tortillas, mounding them on one side of each tortilla. Fold the side with no toppings over the ingredients.
Cook the quesadillas over medium heat, flipping once, until the cheese is melted and the tortillas develop brown spots, about 2 minutes per side.
Slice into wedges and serve immediately with salsa.
Notes
Get ahead--If you've got leftover or precooked bacon on hand, skip the first step and add the cooked chopped bacon to the quesadilla in step 4.
Keep it level--Make sure that your griddle is level. The eggs will run if the surface isn't flat and level.