Love this thread . . . knew there was more than one reason I joined today.

I own and love an English Bulldog (Brier as in my user name). As one person wrote, "they may drool." My four-legged family member doesn't drool in the comparative sense, yet after eating, drinking or even smelling food he likes, the floodgate does open up some. Additionally, the best of them are apt to have chronic problems (above the sticker shock). Snore? Do they ever!

Another suggestion was Basenji because they do not bark. They whistle.

Adopting a Greyhound is a great idea yet keep in mind they are a sight hunter. When they see something move the chase is typically on.

Being in the country, I can have any breed and have had many. However, the best have been mutts. They are less apt to have genetic problems.

The best suggestion I read was "research" because you can find several breeds compatible to your environment. From those you may find yourself falling for a mutt.
Best of Luck
Steve