A drilling system may have a drilling rig with a drill string including a BHA with a drill bit. The method may include determining a current BHA location and a future BHA location based on the current BHA location and a current trajectory of the BHA and comparing the future BHA location to a target drilling path. When the future BHA location is a predetermined distance from the target drilling path, then a plurality of geometric convergence paths may be generated, each providing a convergence solution from the current BHA location toward the target drilling path. The method may include determining (i) a distance to drill, (ii) an overall curvature, and (iii) a time required for drilling, of each of the geometric convergence paths and selecting a geometric convergence path responsive to the above. The wellbore may be drilled in accordance with the selected one of the plurality of geometric convergence paths.