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. Passageways in the gypsum walls are sized to be sufficiently small to limit the transfer of heat through those passages sufficiently to prevent damage to the data storage device and to prevent loss of data stored thereon. 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.