A fire and/or water resistant enclosure is provided for housing an operable digital data storage device. The enclosure is a low cost, preferably molded gypsum enclosure having various embodiments for providing resistance to fire occurring outside said enclosure and/or to water. In one embodiment, a fan cooperates with one or more hatchless ventilation passageways to cool the digital data storage device. Another embodiment provides a water resistant pouch surrounding the data storage device which may be made of flexible foil or of finned relatively robust and non-flexible thermal conductor. The enclosure in some embodiments utilizes a fan and in some embodiments operates without a fan. Similarly, the enclosure in some embodiments utilizes movable hatches and in other embodiments is hatchless in design.