Power consumption has become one of the primary challenges in meeting Moore's law. Fortunately, Single-Electron Transistor (SET) at room temperature has been demonstrated as a promising device for extending Moore's law due to its ultra low power consumption during operation. An automated mapping approach for the SET architecture has been proposed recently for facilitating design realization. In this paper, we propose an enhanced approach consisting of variable reordering, product term reordering, and mapping constraint relaxation techniques to minimizing the area of mapped SET arrays. The experimental results show that our enhanced approach, on average, saves 40% in area and 17% in mapping time compared to the state-of-the-art approach for a set of MCNC and IWLS 2005 benchmarks.