JCE came across this map (click to enlarge) from Niebuhr and kindly sent it to me. He was visiting the Danish Institute in Damascus and found the Danish translation of Carsten Niebuhr's journeys in the Middle East (German 1774) which includes this map of Antioch. Thus it is from the second half of the 18th century.
Accurate in detail but seems to compact the non-urban part of the city within the old walls. Not as good as Rey's map but still a useful snapshot of a point in time.