How old are you now and what does your GPA look like? Answers to those might help in terms of giving you some more advice.
I think the first thing to emphasize is that the number of people who get into a company like Blizzard right out of a 4 year program is tiny. Most of the time, people in the industry work and build up a professional portfolio prior to working at a top studio like that.
The second thing that I want to emphasize is that at a large company like Blizzard, the amount of people who model and animate characters as part of their day to day work is also very small, and mostly the domain of previz artists. People tend to have very specialized roles at large studios, i.e. someone will either be a 3d modeler or a character animator, not both. Even then, the people who model the characters are doing so from 2d concept art, so the distinction of who “creates” the character isn’t as clear cut as you may think.
That said, there are many more roles besides modeling and animation available to artists within studios such as Blizzard. Surfacing/texturing artist, layout artist, FX artist, and lighting/compositing artist also comes to mind. Do you have an aptitude for math and/or computer science? Maybe something like FX might be worth considering.
That said, in terms of schools where studios like Blizzard might recruit from, I would look at Ringling, SCAD, and CalArts, in no particular order.