Yes, you can make room requests, although they are not guaranteed. As you do, keep in mind that BCV is not situated where the views are particularly good; some rooms look over the top of Epcot (better view but more chance of road noise) but many others simply look at trees or the quiet pool. Also remember that the more requests you put in, the more likely you are to feel unsatisfied with those that are actually met.
We usually ask for non-smoking, non-handicapped, quiet location. Those tend to net us a high room farther down the hall (but away from elevator and guest noise) that overlooks the woodlands alongside the resort.
As far as I know, all the units have balconies. If any do not, they are very rare.