This study presents a novel investigation into the heat and mass transfer in fully developed Carreau fluid flow within an inclined microchannel. Unlike traditional analyses, this work considers the combined effects of Hall current, space/temperature-dependent properties, binary chemical reactions, and radiative heat flux, offering a more comprehensive understanding of microchannel heat transport. To strengthen this work, velocity slip and convective boundary conditions are incorporated. By applying suitable transformation constraints, the governing equations are converted into a system of ordinary differential equations, which are subsequently solved using the Runge–Kutta–Fehlberg fourth- and fifth-order method. The graphs provide a detailed analysis of the impact of physical parameters on concentration, temperature, and fluid velocity, providing new insights into the optimization of microchannel systems. The results show that the thermal field is significantly enhanced with an increase in the space/temperature-dependent parameter, leading to an overall improvement in the system's thermal performance. It is demonstrated that the concentration decreases with the chemical reaction rate, while it is increases with activation energy, leading to the optimization of heat and mass transfer in the systems. Additionally, the drag force decreases with the presence of Hall current, and the heat transfer rate increases with a higher Biot number.