In a medium saucepan, combine the ingredients for the brine. Heat gently and stir until the salt is completely dissolved. Remove from heat and add ice until the liquid
Add chicken breasts to large bowl. Pour brine solution over the top. Cover, and place in the refrigerator for at least an hour, up to overnight.
Prepare the smoker to cook at 225 degrees Fahrenheit. We did use a water pan to add moisture.
Remove chicken from brine and pat dry thoroughly with paper towels. Coat with chicken rub, pressing into flesh.
Place in smoker, directly on grates. Smoke for 45 minutes, maintaining the temperature around 225 degrees.
After 45 minutes, remove lid and quickly baste the breasts with barbecue sauce. You can flip the breasts at this time, but it's not required.
Remove the breasts after about an hour of smoking and when an instant read thermometer reads 165 degrees Fahrenheit in the thickest part of the breast.
Allow to rest for 5-10 minutes before slicing.
Notes
Use the barbecue sauce of your choice or leave the chicken breast plain so it can be used in a variety of recipes! If you need a homemade barbecue sauce recipe, try my Easy Apricot BBQ Sauce.