Final answer:
The exact location along the Mississippi for a castle-like state capitol building is not specified, but historical context indicates that it would be similar to the U.S. Capitol in design, likely mirroring the Classical Revival architecture style.
Step-by-step explanation:
The location chosen for a castle-like state capitol building along the Mississippi is not explicitly mentioned in the reference material provided. However, it does detail the historical context of how Washington, D.C. was selected as the federal capital of the United States after the Compromise of 1790.
The details about capitol buildings in the text suggest that many state capitals mirror the architecture of the nation's capital, which was designed after Classical Revival architecture inspired by Roman and Greek political ideals.
Therefore, while the exact location along the Mississippi is not given, we can infer that the state capitol building in question would likely have been influenced by the architectural style of the U.S. Capitol building in Washington, D.C.