We just got back from our 1st trip home and stayed at both so I could try them out as I too heard so many good things about the BCV.
BWV is our home resort and we had a boardwalk view this time. I absolutely loved it.

I enjoyed sitting on the balcony watching the boats come in and watching all the activities on the boardwalk.

The boardwalk has a more festive atmosphere to it. The noise wasn't too bad and we had a great view of illuminations from our room. The BW also has EsPN, The bakery, outdoor seating at some of the restaurants, a candy/ice cream shop, Pizza take out with some tables outdoors near the lake, Jellyrolls and lots of vendors doing hair wraps, and portraits etc. I really fell in love with the BWV and I was so glad we bought there.
We moved to the BCV for just 1 day, I wanted to stay there so we could go swimming at SAB and see how the BCV compared to the BWV. However, the weather didn't cooperate so we never got to try SAB. The BCV has a very nice relaxing beach atmosphere, however, I was a little disappointed that the actual villa's were in the back of the resort near the entrance. I didn't feel like part of the action like we did at BWV. Our view from our studio was the street, which we wouldn't really have minded except that it cost more to stay there than the bwv for the same standard view room. However, SAB is awesome. I really wished we could have tried it. The walk to Epcot was short once we got on the main sidewalk, but our room was near the back parking lot so it took awhile to walk from there to the Epcot walkway (however, if your room is closer to the hotel section than the walk is short). The new market place was very nice and had the refillable mugs, a deli counter and an gelato counter too, but than again, I thought the shops at the boardwalk had more merchandise to choose from.
In summary, my family really loved the boardwalk and have no desire to stay at the beach club again except maybe to try SAB.
If your having trouble deciding do a split stay, The bw will transfer your luggage over to the BCV. We had our luggage 10 minutes after checking in at 3;30.