The proposed study explores the influence of thermal radiation and magnetic flux on the buoyancy-driven magneto-micropolar flow around a continuously moving plate, with focus on convective surface conditions. With suitable transformations, the fundamental equations governing the process are transformed to nonlinear ordinary differential system, which is subsequently then solved using the variational finite element method. The research provides a comprehensive exploration of how radiation, magnetic, and convective parameters impact velocity, microrotation, and temperature profiles. Additionally, it includes computations for skin friction coefficient and thermal flux, with the results validated by comparing with available literature for special scenarios. Grid independence of the finite element solution is also attained. The study holds significant implications for electro-conductive polymer processing applications.