Previous model inversion (MI) research has demonstrated the feasibility of reconstructing images representative of specific classes, inadvertently revealing additional feature information. However, there are two remaining challenges for practical black-box MI: (1) minimizing the number of queries to the target model, and (2) reconstructing a high-quality input image tailored to an observed prediction vector. We introduce Targeted Model Inversion (TMI), a practical black-box MI attack. Our approach involves altering the mapping network in StyleGAN, which projects an observed prediction vector into a StyleGAN latent representation. Later, TMI leverages a surrogate model that is also derived from StyleGAN to guide instance-specific MI by optimizing the latent representation. These mapping and surrogate networks work together to conduct high-fidelity MI while significantly decreasing the number of necessary queries. Our experiments demonstrate that TMI outperforms state-of-the-art MI methods, demonstrating a new upper bound on the susceptibility to black-box MI attacks.