We got our dog from the Humane Society about 10 years ago. She has pretty much all the traits you're looking for. Likes to lounge all day, doesn't shed much, not a slobberer. Sweet as can be with everyone. Almost to the point of annoyance sometimes. If you stop petting her she will nudge your arm. She's a mutt though. We believe Whippet and Pitbull mix? A Pippet
Actually if you look up Whippets characteristics they fit the bill for what you want. I think it may be the same as an Italian Greyhound though?