1. Build a charcoal and/or wood fire on one side of the grill, leaving the other side void. This will create an area for indirect heat.
2. In separate small bowls, combine wet rub and dry rub ingredients and mix well. Apply wet rub to entire turkey breast, coating thoroughly, then sprinkle dry rub over turkey as well.
3. When cooker reaches 250 degrees , place turkey breast on grill away from heat and cook for 21/2 hours. Meanwhile, melt butter in a small saucepan and stir in maple syrup and honey. After 21/2 hours, coat turkey breast with half the glaze; cook for an additional 15 minutes, then coat turkey with remaining glaze. Cook for 15 minutes more, or until internal temperature of thickest part of breast reaches 165 degrees .
4. Remove turkey from grill and let rest under tented foil for 15 to 20 minutes before carving. Slice into medallions by cutting across turkey breast.