I'm actually attending Full Sail right now in the Game Art program. I'm in my second month of finals with a focus in animation and loving it here. First thing I want to say is that you don't need to have much (if any) prior experience with art at all. In all honesty, the only traditional art in the program is about 4 months near the middle. The rest after that is all 3D, working in Maya, Zbrush, and Photoshop along with a couple other programs. From the sound of it you're more interested in doing concept work/texturing, but i could be wrong.
The way it works in Game Art is pretty much, you learn a little bit of everything leading up to the last 6 months or so where you pick your discipline from three choices. Animation, Props and Environment Modeling, and Character Modeling. You'll learn a bit of traditional art, but you won't be doing much of it, at least class-wise after those couple of classes.
And just some general Full Sail Info. It's gonna be a really rough schedule for you. Maybe not at the beginning, but once you start getting into the thick of your degree you'll start having months where you've got one class going from 1 AM - 9 AM, followed by a different class going from 1 PM - 9 PM the same day, every day, 6 days a week. I had that month and it was literally the worst, but I made it through! Don't let the hours scare you though, It's a great university with great professors and a fantastic community!
I know that I didn't really answer what you were asking, but I figured i'd give you a little insight into what it's like at Full Sail, just in case you had the wrong idea about it! Let me know if you've got any questions about it, because I'd be more than happy to help! :D