Beginby preheating your smoker to 250 degrees.
Start the seasoning process by ensuring both sides of the turkey receive an even coating. To achieve this, sprinkle each seasoning separately over the turkey, commencing with the coarse salt.
Place the seasoned turkey on the preheated smoker. Allow it to cook for approximately 1 ½ hours, or until it reaches an internal temperature of 150 degrees.
In the meantime, prepare a small oven-safe dish and combine the sticks of butter with fresh rosemary, sage, and thyme. Position this dish in the smoker alongside the turkey breast, leaving it uncovered. The goal is to infuse the butter with the aromatic smoke flavors.
Once your turkey hits the 150-degree mark, carefully remove it from the smoker. Transfer it to a foil boat to prepare for the final steps.
Remove the rosemary and thyme sprigs from the butter mixture. Then, blend the remaining butter mixture until it achieves a smooth, harmonious texture.
Drizzle the herb-infused butter generously over the turkey in the foil boat, ensuring it's well-covered. To complete the process, wrap the turkey securely in foil, sealing in all the flavorful goodness.