Diverse data augmentation strategies are a natural approach to improving robustness in computer vision models against unforeseen shifts in data distribution. However, the ability to tailor such strategies to inoculate a model against specific classes of corruptions or attacks---without incurring substantial losses in robustness against other classes of corruptions---remains elusive. In this work, we successfully harden a model against Fourier-based attacks, while producing superior-to-\texttt{AugMix} accuracy and calibration results on both the CIFAR-10-C and CIFAR-100-C datasets; classification error is reduced by over ten percentage points for some high-severity noise and digital-type corruptions. We achieve this by incorporating Fourier-basis perturbations in the \texttt{AugMix} image-augmentation framework. Thus we demonstrate that the \texttt{AugMix} framework can be tailored to effectively target particular distribution shifts, while boosting overall model robustness.