We need a 25kV rms AC signal. OK, that's 70kV p-p.
I had a 30kV Trek model 678 amplifier, a huge beast procured on eBay, but I fear it was thrown away in a downsizing move, damn! With that we could make a 10kV rms AC signal, at a frequency of our choice. And maybe transform it up to 25kV.
Years ago I made RIS-333 / RIS-470, a 10kV 600kHz amplifier / resonant-transformer for a mass spec. That was 10kV amplitude, or 20kV p-p. RIS-480 / RIS-514 was a compact 7.5kV 300kHz version. But now we need more voltage, and at much lower frequencies.
A company, Transzvill, in Budapest, sells the FM-24. It's a huge 300x363mm AC-line transformer, rated at 24kV 400VA. I think it's molded, rather than oil- filled. OK, at least it's not a pole-pig. But, haha, we only need 10uA of current, so something much smaller would be nice.
50 or 60Hz are probably good frequencies for us, although it'd be nice to experiment with a little bit higher, maybe 400Hz. Hmm, many 60Hz power transformer are happy at 400Hz. Use a class-D amplifier to drive a 50-to-230V step-up xformer, then on to a 25kV transformer beast someplace.I have all types of small high-voltage pulsers / transformers, many from Alibaba, for electrostatic precipitators, etc. Some are sold simply to make sparks, but these are short-duration pulse types, and we need 2-10ms pulses, too long. TV flyback, 15kHz, nah. Also, Tesla-coil types need not apply.
Ah, maybe a neon-sign transformer of some type. Hmm, only 10 to 15kV. And most are big and bulky.