Brine the chicken for at least 1 hour and up to 4 hours
Remove from Brine/Marinade, pat dry, and place on tray.
Set up your pellet grill for 250F or set your Weber kettle for indirect cooking.
Sprinkle both sides of chicken with chicken rub and get some rub under the skin as well.
Smoke at 250 using fruit wood until internal temperature reaches 165 (about 1.5 hours).
Notes
These breasts come out very juicy since they were marinated/brined and the meat is protected by both the skin on one side and the bones on the other.The skin can come out a little rubbery on smoked chicken. One quick fix, especially if you are cooking them with indirect heat on a Weber charcoal grill, it to move the breasts, skin side down, directly over the coals after they have finished smoking to crisp up the skin a little.