Does the enclosure prevent the user from touching it? If so, then how about using a mains lamp and a small transformer to boost the voltage back up to 120V and use an ordinary mains light? A 9V transformer run in reverse will give 120V out, under load.
Note the reason why I suggested a 9V transformer, is because the secondary has extra turns to compensate for the drop under load and your voltage is 11V, not 12V. Ideally get one designed for both 50Hz, as well as 60Hz, then the extra voltage will be even less of a problem, as it's fine to run a 50Hz transformer at a slightly higher voltage on 60Hz. The obvious downside is it's not so safe, but you've still got the benefit of isolation.