I have stayed at the Swan many many times (we tend to go to WDW for conferences that my dh goes to and that is where they put us). As I do for all hotels, I ask for an accessible room but specify that I do not require a roll in shower. I can't think of any problems or obvious issues with the room off the top of my head (I assume I would have noticed a bad bathroom layout as I have noticed this in other resorts). They have always given us a room close to the elevators, which is nice.
The only unique thing about the Swan is one you won't use-- you can store/recharge an
ECV in a room marked "staff only" (immediately to the right facing the concierge desk). Since I can do short distances easily, I stash my charger there and also leave the ECV there overnight & don't bring it up to the room. For others reading this, also note that the Swan & Dolphin DO NOT have loaner wcs and cannot borrow from the WDW resorts.
You may wish to ask the direction that the bus loop goes, as I recall that I have either gotten off or boarded at the Dolphin before to avoid the scenic tour of the Yacht & Beach and Boardwalk. I don't go during peak times if I do take the bus so crowds have not been an issue, but definitely YMMV. Sorry for my bad memory re the bus, but when we stay there, my dh tends to provide chauffeur service for me before and after his work day.
The Swan is much quieter than the Dolphin, which I like and will likely be nice for your family. Remember, if you'd like, there is a path to walk to MGM. They offer a character brunch on certain days which tends to be much less crowded than the ones at the Disney resorts, arguably because people not staying there don't tend to trek over to the Swan.
I believe all of the rooms have been redone now, but you may wish to confirm. If not, you want the redone rooms! Otherwise, the a/c switches off if there is no motion and it gets horribly damp.
That is all I can think of. Have a great trip and let us know what you think! I honestly have not had any problems with them providing what I asked for, and we definitely have spent quite a bit of time there.

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