I don't know, so Stuttgart is keeping Black Howlers with an outdoor cage, I visit the zoo once in a year, but I've never seen them outside,too. I think, they don't like bright sunlight, but even at days with no sunlight, they are all the time inside, altough they can choice, if they want to be inside or outside.
But in the Netherlands, Apenheul, I've seen Balck Howlers outside on an Island.