Ramp-driven compression-release experiments offer possibilities to explore material response under conditions distinct from those accessed by shock-driven loading conditions. For a material undergoing phase transformation, the problem of material model identification from experimental measurement is made substantially more complex by the need to untangle not only elasticity and plasticity, but also features introduced by the phase transformation. Tin exhibits a complex phase diagram within a relatively accessible range of temperature and pressures and the characterization of its phases is considered an open problem with significant scientific merit. Moreover, under extreme loading conditions, equilibrium phase transition modeling appears insufficient, suggesting the presence of important kinetic processes. In this study, we construct a full forward model of the experiment and simulation results are compared to recent observations of Sn response in ramp-driven compression-release experiments. We employ Bayesian statistical techniques to explore the interactions between inelasticity and phase transition kinetics in Sn. The degree to which these different kinetic processes can be distinguished given velocimetry data is discussed.