I don't think this was mentioned before....... why not use an off-the-shelf or salvaged flyback transformer? Preferably from a portable TV, which will have a 12V primary. Or the kind with an accessible core, wind your own primary, and do the dumb 2N3055 driver (single or push-pull) that everyone does. Integral diode, fully potted construction, no worries about high voltage breakdown ever.
As for sinking, an HV tube would do exactly that (over here, we had 6BK4C and etc., octals), though that would require an additional ~200V bias supply. Just as well draw enough current through the voltage sense resistor divider to account for it, and double the supply capacity. Another two watts, in the lab, who cares?
Tim