How tall does the model need to be?
You could cut it as circles from 1 1/2" lumber (add fretwork frills on the outside) then stack them. The real dimensions look about like 183' tall x 54' wide, with each story about 20' tall. The 1st layer looks like a double height or about 40', so there are 9 stories. Using one thickness of 1.5" lumber per story would make a model 9*1.5" = 13.5" tall, width = 4".
Is that too small? You could double the story to 3", then total height=27", width=8".