Not familiar with that recipe but i usually do an apple cider/juice bourbon sage brine on chicken and turkey. Here is my recipe:
Make a stock from the chicken neck and trimings and 3 ribs of celery, 1 carrot and medium onion all rough chopped. once the chicken is browned and veggies are soft, deglaze with 1 cup bourbon (watch out for open flame. if your using a stock pot, you should be fine. Stand back a bit when you add the bourbon to be safe or mix it with half the water if your concerned) throw in 1 cup apple cider or juice and 6 leaves of fresh chopped sage and about 2 cups water, 1/2 cup salt (or more if you like salt) and 1/4 cup dark brown sugar. Bring that to a boil and then let cool and remove chicken parts. Add enough ice water or ice to cool it down and cover your chicken completely. Soak your chickens in it for at least 8 hours turning half way through and your GTG. You can add other flavorings if you like. Ancho chili is a nice touch and/or some smashed garlic cloves or dried apricot (add dried fruit to the boil to reconstitute).
You can make a nice honey glaze for the last 10 minutes of the smoke to brush over the chickens with bourbon, honey and a little apple cider or juice.