Thanks to everyone for their advise to my question. I went to Sur La Table late today and following
@Focker's advice, purchased a Baking Stone. It measures 14" X14" x1/4" of steel. Made by the original Baking Stone company for Sur LaTable.
This will meet my needs for both searing cooking a steaks but also provides a nice griddle surface for other cooks. At the same time, it allows for the avoidance of the issues encountered with cast iron.