Currently there are 30 native SuperZoom lenses for Nikon D1H and all of these lenses are autofocus (AF) type.
Nikon D1H doesn't have a sensor based image stabilization system but 23 of these SuperZoom lenses features optical image stabilization.
Since Nikon D1H has environmental sealings (Weather Sealing), you may like to couple your camera with one of these 3 SuperZoom lenses with Weather Sealings.