Warning: I cheated a little bit here because this chateau can't really be visited in a half-day, otherwise it would be too rushed and you (and I) wouldn't want that, but I included it in the "half-day tours outside Paris" so that you know that you can combine it with another place to make a full day. You know, with me, it's "A la carte"!
My favorite combination is with Chartres because both are beautiful, completely different and less than half-an-hour drive from each other. You can check it out (and learn more about the history of Maintenon) here.
Otherwise, Maintenon can also easily be combined with Anet.