Consider Digital Design. It is a combination of graphic design, web design and computer science. In fact, you usually have to take some programming courses too.
Check out University of Cincinnati's Digital Design program. It is one of the best in the country. I know that University of Kansas has a grad program in Interactive Design.
I have always said that there are two classes of people who use computers: those who USE the tools available (e.g., graphic arts programs), and those who CREATE the tools themselves. You'll have both worlds.
