  We compute direct current (dc) thermoelectric transport coefficients in
strongly coupled quantum field theories without long lived quasiparticles, at
finite temperature and charge density, and disordered on long wavelengths
compared to the length scale of local thermalization. Many previous transport
computations in strongly coupled systems are interpretable hydrodynamically,
despite formally going beyond the hydrodynamic regime. This includes momentum
relaxation times previously derived by the memory matrix formalism, and
non-perturbative holographic results; in the latter case, this is subject to
some important subtleties. Our formalism may extend some memory matrix
computations to higher orders in the perturbative disorder strength, as well as
give valuable insight into non-perturbative regimes. Strongly coupled metals
with quantum critical contributions to transport generically transition between
coherent and incoherent metals as disorder strength is increased at fixed
temperature, analogous to mean field holographic treatments of disorder. From a
condensed matter perspective, our theory generalizes the resistor network
approximation, and associated variational techniques, to strongly interacting
systems where momentum is long lived.
