When simulating the Langevin dynamics of an elongated particle simultaneously driven by a low- and a high-frequency harmonic drive across a porous membrane, we observed an unusual manifestation of stochastic resonance, with the particle oscillating out of phase with the low-frequency drive. This effect is related to the absolute negative mobility the same particle would exhibit, when setting the low frequency to zero. Here as well the magnitude of the out-of-phase stochastic resonance depends on how the combined action of driving forces and noise fluctuations impacts the particle orientation and, as such, is very sensitive to the particle shape.