Biological tissues exhibit frequency-dependent shear wave dispersion ( $c_{ph}(\omega)$ ) and absorption ( $\alpha(\omega)$ ), which carries potential diagnostic value. However, the frequency content in different elastographic excitation and tracking schemes varies, presenting systematic uncertainty and biases in quantitative shear wave imaging. We propose a maximum aposteriori probability (MAP) estimator for a single track location (STL) elastogra-phy scheme to represent shearwave propagation. The estimator accommodates wavefront and rheological modeling to arrive at material property estimates for tissue mimicking phantoms. We show that a combination of cylindrical wave (CW) geometry and fractional Kelvin-Voigt rheology demonstrate consistent estimates across acquisition parameters. We report a reduction $c_{ph}$ reconstruction bias over a range of shear wave frequencies (200–800 Hz). Results are compared with an existing 2D Fourier transform-based inversion approach and group velocity as the state-of-the-art.