BLT. Walking back at night with kids in double stroller = two kids sound asleep by the time we reached our room. We stayed with our 3yo and 6yo and it honestly was not an issue space wise. We folded the bed up when we weren't using it, and when we were - well we were asleep so we didn't care. We visited poly on several occasions and every time it is swarming with people, but we never had that issue at BLT. We swore to never stay anywhere else. And we kept the stroller behind the door with all of our park gear still in it and our shoes kind of tossed back there too. No big deal.
Edit to add: we went late November and swam. We also usually had other amenities - laundry, giant chess, gazebo, etc - to ourselves. It was a nice break from crowds but we were still "at Disney" with the monorail running and the castle and space mountain visible.