A woman dragged for 60 feet after she was struck by a truck on a Near West Side sidewalk has settled her suit for $35 million, a new Illinois record for pedestrian injuries.Caelen M. Peshek, now 24, was carrying groceries home on Sept. 15, 2015, when a semitrailer heading north on South Ashland Avenue made a tight right turn onto West Roosevelt Road. The truck struck her, dragging her for 60 feet until a nearby University of …