In this study, the potential for dual-polarization radar to aid thermodynamic retrievals in the melting portion of stratiform precipitation is explored. A one-dimensional Lagrangian spectral bin model is employed that includes the melting, evaporation, and sublimation of snow aggregates with variable riming fractions for a prescribed temperature and moisture profile. Building off past versions of the model, environmental feedbacks of temperature and moisture have been incorporated. The reflectivity Z, differential reflectivity ZDR, and specific differential phase shift KDP are calculated using Rayleigh scattering equations at S band and compared to the cooling rates associated with various microphysical processes as well as to quasi-vertical profiles of radar observations in stratiform precipitation. In particular, the potential for diabatic cooling to produce sudden downward excursions (“sagging”) of the bright band is investigated.