Six months and a clear face? How I envy you! I'm at 16 months and counting... and likely at least until the end of the year.
Anyway, when it comes to the lip area, what my electrologist does is while she's working on another area, she will do "surgical strikes" and just grab a few under and over the lip and then go back to her regularly scheduled area. So that way, it's just a few zaps and it's really nothing.
In general I sometimes fall asleep during electrolysis without any numbing, so I know I'm not one to talk about the pain stuff... but when it comes to THAT area, even I know care is required. So that's why I say if you can't find a numbing option, see if the "little at a time" option is on the table.
Good luck!