Chicago is probably the *last* T14 school to go to for international law. They don't have any international exchange, study abroad, or dual-degree programs at all.
Generally, the international "powerhouses" are Harvard, Columbia, Yale, NYU, and Georgetown.
That said, if you're not going into academia in that specific area (and only wish to work internationally), Columbia, Harvard, and NYU have the most grads of any other schools working overseas. Otherwise just go to the best school to which you are admitted.