In a large pot, combine hot tap water and brine seasonings. Heat and stir until sugar and salt are dissolved. Remove from heat, add 8 cups ice water, and cool. Place turkey breasts in the brine, refrigerate overnight.
4 cups hot tap water, ¾ cup Kosher salt, , ½ cup brown sugar,, 2 tablespoon black peppercorns, 3 bay leaves, 1 sprig fresh thyme, 1 sprig fresh rosemary, 8 cups ice water
Mix herb butter ingredients, set aside.
8 tablespoon salted butter, 1 clove garlic,, ½ teaspoon ground black pepper, 1 tablespoon lemon zest, , 4 teaspoon mixed fresh herbs, finely chopped,
Preheat smoker to 225° - 250°F, following manufacturer’s instructions. Use any hardwood for smoking.
Remove breasts from brine, pat dry. Separate skin from flesh, creating a pocket. Rub half of the butter mixture under the skin of each breast.
Place breasts on a wire rack over a pan or on the smoker grill with a drip tray underneath.
After one hour, start basting with olive oil every 45 minutes. Smoke until the outside is bronzed and internal temperature reaches 165°F, taking 2 to 3 hours.
Let rest for 10 minutes before slicing along the breastbone. For cold serving, cool to room temperature, remove from bone, and slice. Store leftovers in the refrigerator for up to 3 days.