  We report on the possibility to simultaneously generate in graphene a {\it
bulk valley-polarized dissipative transport} and a {\it quantum valley Hall
effect} by combining strain-induced gauge fields and real magnetic fields. Such
unique phenomenon results from a resonance/anti-resonance effect driven by the
superposition/cancellation of superimposed gauge fields which differently
affect time reversal symmetry. The onset of a valley-polarized Hall current
concomitant to a dissipative valley-polarized current flow in the opposite
valley is revealed by a $e^2/h$ Hall conductivity plateau. We employ efficient
linear scaling Kubo transport methods combined with a valley projection scheme
to access valley-dependent conductivities and show that the results are robust
against disorder.
