Spray a baking dish with nonstick spray.
Preheat the oven to 375.
Fry bacon until cooked but not crisp.
Drain bacon.
Remove most of bacon grease leaving 1-2 tablespoons in skillet.
Sautee peppers, garlic and onions over medium heat until tender.
Remove vegetables and set aside.
Split chicken breast halves to a thickness of about 1/2".
Dip each piece in flour.
Season with salt and pepper.
Cook chicken in the skillet over medium heat for about 5 minutes per side side, until cooked through.
Arrange the chicken breasts in prepared dish.
Spread barbecue sauce over each chicken piece.
Top with peppers and onions.
Cover each with cheese and top with bacon.
Bake for 6-7 minutes, until cheese is melted.