Thank you very much for your time in helping me with this!
The 555 approach looks like the best solution. Cheap and simple, and there is space for it.
I have to order one though.
I will post back when I have tried it out.
(I have put a 1k ohm resistor in series with the negative copper handle. Haven't had the time to solder it in yet. Definetly a better zapping experience. I can feel a little tingle turning it on. Going from 30kHz to 2.5kHz isn't noticeable any longer.)