The driving frequency of roughly 120 Hz is not optimal, since the transformer is a 60 Hz variety, but I didn't have the right combination of resistors and capacitors to produce the right frequency.
In any case, the damn thing works. Not fantastically, but it works. Based on my informal tests, the bare bulb has a Guide Number of about 10 (meters, at ISO 100). Pitifully low, but that's bare bulb (spherical light pattern); it will certainly go up with reflectors.
A more crippling drawback, I measured the cycle time, it takes about 2 minutes to charge the 1100 uF flash capacitor to 270V which is the minimum necessary to fire the flash tube. That's unusably slow.
I'll try to use a bridge rectifier on the high-voltage output, this should halve the charging time because both half-cycles are used. I'll also get closer to 60 Hz for the inverter, and use a power MOSFET like an IRF530 instead of a BJT for switching the transformer (less voltage drop).
But even with all that, I don't expect charging time to go much below a minute. Still unusable.
I thought of this cheap but potentially lethal solution: drive the flash head (tube, capacitor, and dangly bits which trigger it) directly off the 220V line. That's how traditional studio equipment works.
By putting a light bulb (a.k.a. power resistor) in series with the rectifier diode, the current draw is limited to a reasonable amount. And still guarantee quick charging times. But it's scary: circuit failure equals maiming or death. Whereas by powering it off a battery, circuit failure just equals really nasty shock.
