I've only stayed at Beach Club and, while I loved the amenities, I wasn't blown away by the theme like I was with the Wilderness Lodge. And, opposite of others here with the Boardwalk, I think it's because I live in Rhode Island on the beach and it wasn't as much of an "escape" for me.
I actually wanted to stay in the Boardwalk that trip, but went with BC for Stormalong Bay as I knew my nephew would love the pool. I don't really enjoy swimming much, but SB is INCREDIBLE. It's huge, so you can certainly find a quiet place to swim if you don't want to partake in the activities.
The walk to Epcot was amazing too, but our room was right near the International Gateway path on the ground floor. It was maybe a five minute walk to the turnstiles. In fact, if I sat out on our patio in the mornings, I could hear the Epcot morning announcements and also the seagulls at The Seas.
And Beaches and Cream is one of my favorite restaurants in WDW (I'm a simple gal) so we spent plenty of time in there. I also really enjoyed the breakfast buffet over at the Captain's Grille in the Yacht Club. Counter service there is definitely lacking, but you'll find that at a lot of the deluxe resorts, unfortunately.
I rented a car that trip, so I can't comment on the transportation, but I do know they share with the other Epcot resorts quite a bit.
So... to (finally) answer your question, I wouldn't choose to stay at the Beach Club again but I would definitely give Boardwalk a chance. I don't mean to say it was a bad resort, I just wasn't a fan of the theme.