I think you'll love the Swan. Yes - it has two queen "heavenly" beds (which really live up to the name). And yes, the parking privileges are like the Disney owned resorts.
Because it is a hotel more than a resort, and because S/D has mroe business/conventions, many people say it has less a resort feel. (Some would disagree strongly - which says the answer is not clearcut). During our stay, I'd say that was true in the lobbies, but not at all true at the pools and grounds in general. Yes - there is less Mickey and friends related decorations, but you are right in the middle of a fantasic complex of the YC/BC, Boardwalk, Epcot, and MGM. The grotto pool is second only to Stormalong Bay - and is usually relatively empty.
With the education discount, you are getting a deluxe resort for essentially the price of a moderate.
We stayed at GF three times and BC twice before trying the Swan this past August. Unless the price difference between a Disney deluxe and the Swan were about $50 or less, we would never consider staying anywhere else - and even then we probably would pick the Swan for the beds, the pool, the choice of restaurants, the views, the staff, the grounds, and probably several more things I'm missing rright now.