The statement that best assesses the contributions of the Code of Hammurabi to U.S. political thought is:
"The Code of Hammurabi contributed to U.S. political thought as an example of how uniform written rules could promote a flourishing society."
This reflects the significance of the Code in demonstrating the importance of codified laws and their role in establishing order, justice, and societal stability, which are key principles in U.S. law and governance.