I don't know how things work in the USA, but here in the UK, the two most populars games related Uni courses are Games Design and Games Development, and i think this can be adapated to how things are in the States. They're both rather different. Now, reading through this post i can't quite discern what you really want to do, so i'll just blag on about what i know.
Games Design is the arty stuff. The course would cover Conceptual art, level/character design, 3d work and actually making some games of course. The big thing about getting on a course like this, is actually being able to be good at art. Not only that, but at least doing it for some years, at minimum 2-3 years. You need to be either good at drawing, digital art(photoshop etc), 3D modelling, or even all 3. They will teach you all three in the first year, because the first year is all about getting everyone up to scratch. I do think knowledge on the use of Photoshop and Autodesk Maya is a real bonus for convincing them to let you on the course.
Games Development is programming etc. If you're a technical, mathematical thinker this would be for you, maybe. I say maybe because even though you may enjoy programming, as i do, can you honestly see yourself doing it for a job? Such courses have high drop-out rates because people fail to answer this question before applying. There's still a lot of creativity in programming for games, but it's often more directed by the leads than other departments. To get on such a course, knowledge of C#, C++, Unreal are not essential. What is essential is a good understanding maths, a little programming knowledge (For example Visual Basic, it's very easy to pick up), and being a great problem solver. I would advise playing around with Unreal kit though, it's not essential, but in looks great on you and loads of companies use it. C# is often taught in the first year, from scratch, while C++ in later years. If you want to do this course for fun, go for it, but if you want to work as a programmer, take some time to really think it through first.
To clarify, there is no such thing as an "Idea Man", because everyone in the game making process provides ideas. Working in the industry is hard work too, often having to work long hours to meet deadlines. On the flipside, it's very rewarding and pays pretty well. You should also know that you won't get a lot of time to actually play video games while on a Games course, or working in the industry. In fact, a lot of Developers do very different things to playing video games, as they're often tired of seeing games or staring at a computer.
I'm not trying to dissuade you from doing such courses, i'm just giving a bit of a realistic picture, as many people don't.