LDO Compensation
This is one of the tougher stabilization jobs, because the "load
pole" is varying by decades and can go from secondary
at high load, to dominant at low load.
Bringing Zout down in the lightly loaded case may be what
solves it for you. But that will tend to cost efficiency / ground
current most likely.
But consider that if you had an output voltage image, offset
by (say) 100mV with a 1Kohm resistor, you'd have a Zout that
never goes below 1Kohm at the cost of 100uA wasted
current. Contrasted with (say) 2.5V out at 100uA, an operating-
point Rout of 25Kohms and a pole 2+ decades further to
the left.
Perhaps you could make the offset smaller and the resistor as
well, but this comes down to tolerances. Might also make the
bleed sensitive to some sensed current or gate voltage so
as to not pay the tax full time.