We construct a new perfect action for free staggered fermions, which is more local than the one obtained from the standard block average scheme. This pays off in superior properties after a short ranged truncation. This action is "gauged by hand" and tested in Schwinger model simulations by means of a new variant of hybrid MC. Using "fat links" for the gauge field, we obtain a tiny "pion" mass down to beta less than or similar to 1.5, and the "eta" mass follows very: closely the prediction of asymptotic scaling.