You are correct in that there is no applied policy course in the core. However, there are lots of opportunities for that outside the core. Our core instructors usually take the last 2 or 3 lectures to kind of wrap everything together and to present a couple case studies. Also, most classes usually include a policy memo that we write that applies our coursework to practical situations.
Outside of the core, we have a pretty interesting practicum especially is you're interested in urban policy. Below is a course description:
http://harris.uchicago.edu/course-description/50600/urban-revitalization-project-gary-indiana
and below is an article about it:
http://chicago.cbslocal.com/2015/02/18/gary-survey-finds-6300-vacant-homes-550-vacant-businesses/
There are other practicums and applied coursework but lot of people gravitate to the Gary Project. We also have an Urban Policy Institute and Harris just launched an Urban Lab.
We also offer 20 student organizations that focus on applied policy. Popular groups include Data in Public Policy (DiPP) and the Center for Policy Entrepreneurship (CPE)
Let me know if you want some more information!
-AJ