Why is Georgetown an odd choice? Its one of the finest universities in the United States. In addition, Prince Felipe of Spain as well as the Crown Prince's father, King Abdullah II have attended Georgetown. I wouldn't be surprised if he choose Georgetown based on the stories he heard from his father. If that is the case, he wouldn't be the first child to attend the same university as their parent.
More importantly, the Crown Prince can fade into the background so to speak and enjoy some quality private time before he begins his royal life in earnest, and get a quality education at the same time.