Working on turning this multi-channel charge pump from ideal simulation to actual circuit... check me if I'm off track on any of this.... I'm targeting about 125mA for the output load on each of the 6 supplies.
Because of the high peak pulse current, I'm looking at using independent push-pull drivers for each of the 6 charge pump supplies. That sucks because it increases parts count/cost, but the equivalent single solution would have to be able to handle the sum of the peak currents which would make it bigger and more expensive itself. There is also an output voltage imbalance from different output rail loading that I think having independent drivers mostly does away with. I'm not sure how much I need to worry about layout parasitics, but I would imagine that would be worse with a single driver.
Because I have the adjacent cell voltages available, I could in theory mostly pre-charge the output cap on all cells but the top one before turning on the charge pumps (the next cell isn't available on the top one). But that again adds parts cost and sequencing complexity.
I haven't got a full BOM yet, but I'm wondering if the flyback + transformer solution will actually be less expensive than the charge pump after a real world circuit is together. The flyback is certainly less involved, and less finicky.