Preheat. Heat the smoker or pellet grill to 275°F with indirect heat. Use cherry or apple wood or pellets suitable for the cooker. If the smoker cannot reach 400°F, prepare to finish in a preheated 425°F oven.
Dry and season. Pat the thawed chicken wings thoroughly dry. Toss with the oil in a large bowl. Combine the smoked paprika, 2 teaspoons garlic powder, onion powder, salt, and black pepper in a small bowl, then toss with the wings to coat evenly.
Smoke. Arrange the wings on the grate in one layer with space between them. Smoke at 275°F for about 30–35 minutes, turning once. Continue straight into the next cooking stage; do not partially cook and refrigerate for later.
Make the glaze while the wings smoke. Combine the blackberry preserves, BBQ sauce, minced chipotle pepper, adobo sauce, vinegar, Worcestershire, Dijon, and remaining 1/2 teaspoon garlic powder in a small saucepan. Simmer gently over medium-low heat for 5–8 minutes, stirring often. Add water a tablespoon at a time only if needed for a brushable glaze.
Reserve serving sauce. Transfer about 1/3 cup of glaze to a separate clean bowl. Keep this portion away from the chicken and used utensils. Keep the remaining glaze warm over very low heat, stirring as needed.
Brown the wings. Raise the cooker to 400°F and continue cooking over indirect heat for about 20–30 minutes, turning as needed, until the skin is browned and the thickest meat in several wings reaches about 175°F. Avoid touching bone with the thermometer. Slow temperature changes or large wings may require extra time. If finishing in the oven, transfer directly to an oven-safe rack over a rimmed pan at 425°F and cook to the same doneness.
Glaze. Move the cooked wings to a separate clean bowl. Toss with about 1/2 cup of warm glaze, adding more only as needed for a thin, even coating. Use clean tongs and keep the reserved serving sauce separate.
Set the glaze. Return the wings to indirect heat at 400°F for 3–5 minutes, or the finishing oven at 425°F for 3–5 minutes, watching closely to avoid scorching. All wings must reach at least 165°F; a final temperature of about 175–185°F is the texture target for this recipe.
Rest and serve. Rest uncovered for 5 minutes. Serve warm with the reserved glaze and optional dressing and vegetables. Discard sauce left in the tossing bowl; store only untouched reserved sauce for later use.