In a food processor, combine the barbecue sauce and half of the garlic. Add the peaches and process until finely chopped; season with about 1-1/2 teaspoons salt and about 1/4 teaspoon pepper. Reserve 1/2 cup for basting.
In a resealable plastic bag, toss together the chicken wings and remaining peach barbecue sauce; refrigerate for about 30 minutes.
Meanwhile, combine the peach jam, vinegar, remaining garlic, hot sauce and 1/2 teaspoon salt in a small saucepan. Cook over medium heat until slightly thickened, about 5 minutes; let cool.
Drain and discard marinade. Moisten a paper towel with cooking oil; using long-handled tongs, lightly coat the grill rack. Grill chicken wings, covered, over medium heat or broil 4 in. from the heat for 12-16 minutes, turning occasionally.
Brush with reserved sauce. Grill or broil, uncovered, 8-10 minutes longer or until juices run clear, basting and turning several times. Top with scallions and serve with peach jam dipping sauce.
Editor's Note: Read all ingredient labels for possible gluten and dairy content prior to use. Ingredient formulas can change, and production facilities vary among brands. If you’re concerned that your brand may contain gluten or dairy, contact the company.