Using a MOSFET as a "diode drop" is a pretty poor idea
if you want any decent tolerance. Too much variability.
At very low current you would need a very long and
narrow device to get that much from from a single FET
and it would be all over the place with temperature,
process, current.
I would go for a "poor boy LDO" fed by a resistor
divider, diff pair and source follower NMOS. This can
be pretty stable and repeatable. If you have a ready
voltage reference resource then use an output divider
for feedback.
A quantity for "very low" current consumption would
be helpful to you, in picking a topology and values.