If you are serious about entering into the Chicago video production world then film school is still going to be your best starting point, and there are actually more Chicago film schools available then most people would normally assume. Northwestern University stands out as both one of the best film schools in the country, not to mention one of the leading private universities in the U.S. in general. Their Radio/Television/Film undergraduate program is intended to be a broad course of study that will work both in the areas of practical production and professional world, while at the same time really giving them a foundation in the theory and social study of film.
The School of the Art Institute of Chicago is one of the best known art universities in the country with a great reputation for focusing on the development of the artist without too many restrictions. The open Bachelor of Fine Arts and Master's of Fine Arts degree in Studio will allow you to focus in on the art of your choice, going into video production as your focus. This is more geared at independent artistry in filmmaking and will be less industry focused than other Chicago film schools.