The biggest hassle I've had in LDO tweaking is the light load
where the pass FET is weak and soggy. At zero load you have
only the feedback shunt load and a really low frequency pole
if you've hung enough bulk C on the output to get decent step
response deflection.
Depending on how harsh your ground current spec is, you
might find a Class B or AB output (putting a sink device on
it) fixes light load dynamics.
Alternatively making other compensation elements follow
sensed load current and/or headroom (another loop issue,
low headroom removes most of the pass FET stage-gain
while high headroom light load makes it huge, how you
gonna straddle?) could flatten things out. But I don't have
any good, finer details to offer besides "try it and see".