Bootstapping? Now there's an idea I've never seen or tried. Have the Vdd for the 4093 provided by output of the voltage tripler. Start the
4093 off the available 5v and get it oscillating into the voltage tripler. With diode isolation, bring Vdd up to about 12v, which provides more current capacity from the 4093 and the voltage tripler. Once Vdd climbs to 12v, there should be more than enough current capacity in the single NAND section. Added cost would be the two isolation diodes and a filter capacitor.Disclaimer: No warranty expressed or implied for this kludge.