Is it possible to take your standard Baxandall and tap the capacitor, take an aux winding off the secondary and feed a somewhat higher DC voltage to the cap (through the usual two-diode supply handoff arrangement), and use it to feed the gate drive to the transistors as well, which would be clocked rather than self-oscillating.
The goal would be to have a quiet step-up converter that could do say 5 to ~150 in one step, or maybe with a single multiplier stage. That seems hard to do with anything off the shelf as compact pulse transformers with the appropriate turns ratio don't seem to be really available, you get into CFL-type transformers whose ratios are too large, but there might be something appropriate with a third winding to bootstrap the primary swing