The COVID-19 pandemic highlighted the importance of respiratory personal protective equipment (PPE) as a means of reducing the spread of disease via aerosolized droplets. For years, N95-type filtering facepiece respirators based on meltblown polypropylene nonwovens have been the technology of choice for healthcare professionals and personal use. However, their reliance on electrostatic charges to achieve an acceptable trade-off between filtration efficiency and pressure drop has led to concerns about shelf life, reusability, quality control, and versatility of materials. In this study, we show that media in which an electrospun polyacrylonitrile (PAN) nonwoven serves as the active layer, comprising fibers of much smaller diameter than typical meltblown fibers, can achieve high levels of filtration efficiency combined with low pressure drop without the assistance of electrostatic charging. Moreover, the aerosol filtration data is well-described by the slip flow-modified Kuwabara model for pressure drop and a single fiber efficiency model that takes into account particle collection via diffusion, interception, and impaction. These models may be used to guide the further design of nanofiber filters. Combined with a spunbond substrate, the proposed filtration media resolves practical concerns regarding mechanical robustness and residual solvent, and it has been fabricated into filtering facepiece respirators that meet N95 filtration standards when tested by standard methods.