The Monte Carlo simulations demonstrate that a relatively simple multiplicity trigger gives excellent central/peripheral discrimination. Further refinements of the design, such as the exact amount of lead and its exact shape, remain to be done. In addition, a highly segmented scintillator system may be desirable. The segmentation is useful for event characterization, and may help the efficiency of this array for detecting a second interaction within our time window. Studies determining how highly segmented the scintillator should be as well as the timing resolution of this or another counter array are in progress.