Preheat oven to 400 degrees. Melt butter in foil-lined baking pan in oven as it preheats. Rinse chicken in cold water (after removing skin to cut down on fat) and drain on paper towels. Mix flour, salt and paprika in a paper bag. Shake chicken in this mixture until well coated. Place in pan of melted butter.
Bake for 30 minutes. Turn chicken over and cover each piece with barbecue sauce. Bake another 20 to 30 minutes.