Scrape mango flesh into a blender. Add BBQ sauce and blend until combined. Season with salt and pepper, to taste.
Whisk molasses and Dijon together in a small bowl.
Place sausage on grill and grill until cooked through. Place both types of ham on grill and brush with either the mango BBQ Sauce or molasses-Dijon glaze. Grill, brushing with either sauce, on each side for about 2 minutes or until sauce caramelizes. Remove from grill and cut into slices.
Arrange ham slices and sausage on a serving platter.