Any way, I can tell you that the most important thing the university will teach you is to learn by yourself, and that is a quite important skill as game designer.
This is exactly why so many college curriculum focus so heavily on reading and research. And I can confirm from my own experience that this was perhaps the best and most useful lesson that I learned in college as well. In game development in particular it is important to learn, constantly. And frequently this involves taking the initiative and performing research and experiments on your own.
This type of approach does not require a college education, it just happens to be where many people are exposed to this concept. If you want to push ahead without a college education, just do it. Push, research, learn, and experiment. Document every part of your journey, and share that documentation with others. (to get feedback)