Pulled Pork with Stubbs Sauce

Name: Pulled Pork with Stubbs Sauce
Ingredients: For the Picnic:; 6 1/2 pounds bone-in picnic shoulder (pork shoulder); 3 tablespoons kosher salt plus extra for seasoning; 1 1/2 tablespoons brown sugar; 2 cups hickory chips, soaked in water for 24 hours then drained; For the Stubbs Sauce:; 2 cups Pomi brand strained tomatoes; 2 1/2 tablespoons tomato paste; 1/2 cup sugar; 2 tablespoons molasses; 1/2 cup vinegar; 1 teaspoon paprika; 1/2 teaspoon garlic powder; 1/2 teaspoon onion powder; 1 teaspoon ancho chile powder; 1 tablespoon fresh ground black pepper; Kosher salt, as needed