In my opinion, the BC rooms are not far from anything no matter where you are. I compare it to the other resorts. If you are in any of the "out" buildings at the GF, the walk to the buses, boats, and monorail are much further than any room at the BC could be. Same with any of the moderates. It's one building at the BC. I've walked from the far end (by 3501) to the other far side (by room 3727) rekeying every lock in the building on all five floors and it hasn't taken me all that long. My goodness, compare our little building and the walk from 3501 to 3727 to some of the buildings at the Polynesian or even the wing of the Contemporary ... NO COMPARISON. And don't get me started about the moderates. You could walk for 15 minutes and maybe finally get to your room. From the lobby to 1501 (the room all the way at the end) might take me 3 minutes if I'm not hurrying.
What I'm trying to say is I wouldn't really spend any time worrying about the room location because of distances to Epcot and the buses. Chances are you won't get exactly where you want anyway if it is during a crowded time of the year so why worry about it. The walk from Spaceship Earth to MouseGears is longer than the walk from 3727 to 3501. The walk from my favorite building at the GF (Conch Key) to the main building at the Grand is much further than from any room in the BC to the lobby.
You should keep your requests to a MINIMUM! The more you request, the less likely you will get what you want. Decide what is more important to you and request that. If it's a full balcony with a view of a courtyard, just say "full balcony, courtyard view please". If you start in on locations too, you're making the room assignor's job pretty much impossible and you will probably end up with nothing that you asked for because they won't know which request to go for if you have too many.
Most of the rooms at the BC facing the Epcot area are woods view (like 2512, 2514, etc.). Most of them have standing balconies. Only a few in that row of rooms have full balconies. The rooms are facing Epcot but all you will see are woods.
So word your request carefully and try to keep it to one or two things only. You will have a much better chance of getting a room that you are satisfied with.
If a nice view is really really important, then you really should consider upgrading to a waterview!