Ok, some updates.
A photographer I am not, and I'm glad Chunger has build slots reserved.
Here is a shot of the stuffed board:

The two pots I added at the last minute for experimentation. The "top" pot (in the shot) lets you adjust the switch mode frequency. At 52K the frequency works out to about 250kHz which seems like a good starting point. The "bottom" pot lets one adjust the output voltage.

The pots dominate the height, and I think I can shave down the height of the input RC filter caps because I used 100V parts (just to make my Mouser order easy), but 36V parts would work fine.
Here is a scope shot of the output voltage:

Zoomed in and set to AC coupling:

The tiny 1mV blips are spaced at 4.28uS apart, which equates to 234kHz switch frequency. Pretty spot on! The "pass-band" ripple is in the 10's of uV range, and will also be subject the input filters on the U87 polarization supply. This is conjuntion with the LC filter should make this dead quiet!
Here is a shot of the SW output of the chip: this is the drain of the switch MOSFET. It crashed towards ground as the inductor is charged, then "let's go" to charge the output cap network via the Schottky diode:

Looks good to go! Now I have to stuff it inside a mike!