As far as I know, UV lamps generally come more in the shape of a neon-like fluorescent tube, and I'd say none would fit an enlarger's head properly.

Yes, tungsten lights are quite safe with UV-sensitive materials since the spectrum is much toward yellow. With POP paper, for example, you can keep the sensitive material under normal kitchen light for hours before noting any effect on the emulsion. However, as with any "safety" light, remember there is ALWAYS a time limit after which some fogging will occurr.