Radio ice detectors for Ultra High Energy neutrinos take advantage of large natural ice sheets to detect the impulsive emission of radio signals from Askaryan emission. The Askaryan Radio Array (ARA) has deployed several prototype detectors at the South Pole. Using Monte Carlo simulations, we re-examine various design parameters of a neutrino detector at the South Pole. Along with the frequency acceptance of the detector, the sensitivity of an ARA-like detector depends on several parameters such as station depth, station horizontal baseline and geometry of the station. The effect of some of these parameters on sensitivity exhibit significant energy dependence. We also analyze the change in signal response of the station with different frequency acceptance bands which could help reduce the cost of the new upcoming stations.