Preheat your oven to 425°F (220°C) or prepare your grill for indirect heat at medium-high.
Place the turkey breast-side down on a cutting board.
Using kitchen shears, cut along both sides of the backbone and remove it.
Flip the turkey over and press down firmly on the breastbone to flatten it.
Pat the turkey dry with paper towels.
Brush the skin generously with olive oil or melted butter.
Mix salt, pepper, garlic powder, smoked paprika, and thyme in a small bowl.
Rub the seasoning blend all over the turkey, including under the skin.
Place the turkey on a roasting rack over a baking sheet or in a grill-safe pan.
Roast or grill for 1.5 to 2 hours, or until the thickest part of the breast reaches 165°F (74°C) and the thighs reach 175°F (79°C).
Let the turkey rest for 15-20 minutes before carving.
Garnish with fresh herbs and serve.