Thomas Jefferson had no direct role in the writing of the Constitution as he was the minister to France while the Convention took place. Nevertheless, once he took office under Washington, as SoS, he fiercely opposed Hamilton’s plans to incur debt as you mentioned.

Although I agree that Hamilton’s actions were unconstitutional, I’ve always found it hard to take sides in their dispute because both men were advocates for a valid cause during a period of uncertainty—a strong government, as Hamilton would have it, but beholden to the people, as Jefferson wanted.