Hi again,
3 or 4ma sounds pretty good, maybe 5ma optimum, have to read the zener spec sheet.
I did a few runs myself and found that as the resistor gets larger one of the interesting things is that since the gain of the transistor is (somewhat) fixed, the lower current means less emitter current which means the output cap charges slower which in turn means the startup takes longer. With 1k under 1us, but with 10k up to 5us startup time. Startup time here is defined as the time it takes the output to ramp up to the final output voltage from zero volts.