MrsAlphaOne--
I think the most important thing for you to do is define what you mean by computer animation. 2d? 3d? For television? Games? Special effects for the film industry?
Do you intend to get work in one of the industries? Do you want to work as a generalist, maybe doing freelance work or working for an ad agency or something?
I've taught 3d animation and modeling to undergrads. When I started learning 3d, I was interested in doing animated cut scenes for video games (actual animation like in the Diablo games). That sort of thing would break down to several types of specialties:
1. 3d modeling. Most likely in 3d Studio Max or Maya for games.
2. texturing. making textures to use in the 3d renderer. Would need to be good at Photoshop, etc. Possibly Z Brush.
3. lighting rendering. Expertise in a 3d rendering package
4. animation. Either keyframe animation using a bone-driven deformation system or motion capture.
Now if you were going to do #4 in the example above, how well you can draw may be completely irrelevant to how the company views your work. You need to define what it is you want to do before you can start making progress in that direction. My personal emphasis is on 3d modeling. I'd recommend sculpture over drawing as the thing to study in preparation for that.
Computer animation is extremely technical and most professional positions are very specialized. In addition to paying for courses you will probably need to invest in expensive software and a good rig that will run it.
If you are looking to get a job working in games or tv, you need to learn in a program that is going to teach you the skills those companies are looking for, including proficiency on the type of software that is typically used. In addition, you want to go someplace that is going to provide you with industry contacts if at all possible.