The algorithm choice probably doesn't matter that much. I'd use AES since it's been better researched. What's much more important is choosing the right operation mode and key derivation function.
You might want to take a look at the TrueCrypt format specification for inspiration if you want fast random access. If you don't need random access than XTS isn't the optimal mode, since it has weaknesses other modes don't. And you might want to add some kind of integrity check(or message authentication code) too.