Glacier mentioned greyhounds as a suitable dog for an apartment, and wondered how they were off leash. I've got a greyhound mix- she is great off leash- until she sees a bunny rabbit!
It seems like you prefer big dogs, but have you considered a smaller one, like maybe a basset hound? They are not high energy dogs, and tend to make good apartment pets as they are pretty happy laying around all day! Good luck with your search!