Suggestions for 1 Digit LCD display?

Simple, raw LCDs are not that hard to drive. You don't need an AC supply, because you can generate one with an EXOR gate. Feed a clock of suitable frequency to the backplane of the LCD and to one input of the EXOR gate. Then drive the segment from the output of the EXOR gate (do this for all seven segments). Then sending TRUE to the other EXOR input will drive the segment with a square wave in anti-phase to the backplane, i.e. effectively and AC drive.