We present a novel approach to ultrasound imaging using short-lag spatial coherence (SLSC) beamforming combined with filtered cross-correlation to enhance spatial resolution. By employing Gaussian-weighted Hermite polynomials to filter raw channel data before implementing spatial correlations, the method aims to improve coherence-based beamforming. The study evaluates the effectiveness of this approach through simulations and experimental data analysis, demonstrating enhanced lateral resolution. The results suggest that this method, termed H-scan max amplitude (HMA)-SLSC, has the potential to reduce clutter and simultaneously improve the maximum spatial resolution previously achievable with both fundamental and harmonic SLSC imaging.