S4w,
I haven't worked on an inverter (commercial) that has used a booster for the HV step up. All seemed to use push-pull step up stages (600W and upwards).
As the run of the mill elcheapo inverters in modified sine are cheap as chips, (probably cheaper than building the front end yourself), it may be reasonable to use the step up pushpull stage of a modified sine inverter to cheaply achieve your HV DC.voltage, and homebrew your D class output from there.
At the least this will allow you to test your D class output stage with an established current controlled drive voltage.
It is interesting to note that in the modified sine inverter, the H bridge is there, the crystal oscillator is there, but they don't modulate the output with a 50hz sine, but a lousy square wave....... there must be some reasonable explanation which escapes me at present.
..........oztules