This is one of the tougher problems, without a low-VT device
you'll have a hard time even "booting up" the local reservoir
and with them, leak-back is a problem. You probably need a
synchronous rectifier, but that itself needs to be fed and
clocked. Probably two stages to this, a flea-power detector
that harvests just enough in subthreshold operation to then
hand it off to a larger, more efficient sync rect that also
provides its own gate power.
The achievable efficiency will depend a lot on device tuning
and, critically, the matching and Q of the front end. If you
can get it to "ring up" there's a lot more useful amplitude
and you might self-clock a sync rect. But them you'll be
removing energy, perhaps self-limiting, if you don't control
how much energy you scrape off every cycle.