Existing Rogowski coil sensors suffer from insufficient measurement bandwidth, which limits their ability to accurately capture the switching transient current of wide-bandgap devices. A combinational Rogowski coil that utilizes both the self-integrating region and its differentiating region is proposed to extend the overall measurement bandwidth to break this limitation. The selection of suitable geometrical parameters is crucial as it directly affects the measuring performance, including bandwidth and sensitivity. This paper employs a multi-objective optimization workflow to design Printed Circuit Board (PCB) combinational shielded Rogowski Coils. Eight geometrical parameters are considered as design variables to maximize the current measurement bandwidth and peak current. Utilizing the distributed model of the shielded PCB Rogowski coil, the geometry of the PCB shielded Rogowski coil is optimized using Neural Networks. The factors that have a significant impact on bandwidth and sensitivity are identified through the optimization process. Test results of a current sensor will be demonstrated in the full paper to validate the proposed optimization results.