Please note that I didn't add enough stages to get anywhere near the voltage you want to generate. I suspect that you might get close to the voltage you want with something like 24 to 30 capacitors and(and similar number of diodes and even then you'd only.) You may get perhaps hundreds of nanoamps. (Should be relatively safe, though.)
There's another part missing here. There's nothing to specifically limit the voltage developed. Instead, it will depend on the vagaries of wiring and the devices themselves. Adding a load resistor would probably make a lot of sense, now. Just to keepIt would make the voltage down to some reasonable valuedesign more predictable. Or just use a small neon bulb, I suppose (if you can develop enough current in it.)
I'll have to dig into it more when I have time. If so, I'll add it here.
Just as an aside, energy in an inductor is stored in vacuum (space.) Magnetic materials concentrate flux lines by providing "short-cuts" (I think of them has magnetic short-circuits which do not and cannot retain energy.) The volume required for a boost inductor is approximately:
$$\textrm{Volume}= \left[\frac{\mu_0 \mu_r}{B_{max}^2}\right]\cdot\left[\frac{2 I_{out}\left(V_{out}-V_{in}\right)}{f}\right]$$
The first factor is more a matter of the materials you are using for the core. (The value of \$B_{max}\$ for core materials also is temperature dependent.) The second factor is in Joules and is basically the energy you need to store in interstitial vacuum, per cycle.