The Addo Elephant National Park is only a 60 minute drive from Port Elizabeth. This malaria-free National Park is one of the more scenic National Parks in South Africa, with rolling green hills covered in thick, lush vegetation, most of it evergreen, so it is attractive at whatever time of year you visit.he scenic and malaria-free Addo Elephant National Park is only a one hour drive from Port Elizabeth, and as well as having a high density of elephants, the Park also boasts lion, rhino, buffalo, leopard, zebra, giraffe, and much more. 1  Home.