Advancing our understanding of divertor plasma physics is limited by an inability to directly determine the plasma characteristics (density, temperature, etc) over the entire divertor cross-section. At best, diagnostics are able to measure ne and Te at isolated points. More commonly however, diagnostics only measure higher-level quantities (e.g. emissivities) which are functions of ne and Te. Consequently, a single diagnostic cannot usefully constrain the fields of interest. We address this problem by using a Bayesian approach to combine information from multiple diagnostic systems to infer the 2D fields of ne and Te. We present results of the successful design, implementation and testing of a simple, proof-of-principle system. The synthetic diagnostic measurements used in this testing are derived from SOLPS-ITER fluid code predictions of the MAST-U Super-X divertor, and include appropriate added noise. In these synthetic tests we are able to infer the plasma elds at resolutions better than 2 cm over the outer divertor leg.