350V? WTF? Suggest pulling the bulb if you can (is this wire holding it in place soldered?), inspect ALL SIDES for possible part number / specs (have you done this / is this where you got the 350V figure?)
Gonna see if I can't enlist some assistance here....mailed text of this post to sales*ccflsurplus.com for hopeful conversation...
I've had a brief look about, and apparently Sega Game Gear units use this same CCFL style methodology...got one you can tear down to have a look? MIGHT just have the same setup...roughly the same era, isn't it? That would be stupid cheap to sack a GG unit for it's bulb., they abound at flea markets..