  Motivated by recent experiments on google's sycamore NISQ platform on the
spin transport resulting from a non-unitary periodic boundary drive of an XXZ
chain, we study a classical variant thereof by a combination of analytical and
numerical means. We find the classical model reproduces the quantum results in
remarkable detail, and provides an analytical handle on the nature and shape of
the spin transport's three distinct regimes: ballistic (easy-plane),
subdiffusive (isotropic) and insulating (easy-axis). Further, we show that this
phenomenology is remarkably robust to the inclusion of bond disorder -- albeit
that the transient dynamics approaching the steady states differs qualitatively
between the clean and disordered cases -- providing an accessible instance of
ballistic transport in a disordered setting.
