Preheat your smoker to 300°F.
In a small bowl, combine the apples, bacon, bread crumbs, and broth to form a loose stuffing.
Season with salt and pepper.
Set aside.
Season the breasts all over with salt and pepper.
Using a sharp paring knife, cut a pocket about 3 inches deep in the thickest side of each chicken breast.
Spoon the apple mixture in the pockets and secure the openings with toothpicks.
Apply the rub to the outside of the chicken breasts, taking care to get it all over on both sides.
Transfer the breasts to a large aluminum pan, and place the pan in the smoker.
Pour the apple juice into a spray bottle.
Cook the chicken breasts for 1 hour, opening the smoker to spritz them all over with the apple juice every 15 minutes, or until the internal temperature of each breast reaches 165°F.
Remove the pan from the smoker and allow the chicken to rest, loosely tented with aluminum foil, for 10 minutes.
Serve warm.