I think the closest you're going to come to a web design degree is a graphic design degree. Some art institutes (KCAI is the only one I'm familiar with) offer

I think the closest you're going to come to a web design degree is a graphic design degree. Some art institutes (KCAI is the only one I'm familiar with) offer a web design track for graphic design majors; I'd look at individual departments and find one that suits you. That's for design, though. If you're interested in development, information technology degrees are going to be the most substantial, although you can learn most web development on your own (it took me about 6-8 months to become comfortable enough with html/css/javascript to do freelance work, although I am taking computer science courses). In the end, most of what you need for web development you can find online.