President James Madison's arrangement with France to address the seizing of American ships primarily involved a diplomatic strategy to improve relations and sought to challenge British maritime policies. Among the provided options, the most accurate reflection of Madison's approach would be:
to trade with France but not with Britain.
However, it's important to note that Madison's administration dealt with complex international relations, and specific agreements can be nuanced in interpretation. The end goal was to secure American shipping rights and reduce British interference.