somniloquence

Basically, I think I want a dog that's a cat.

Hmm. Have you thought about a dachshund? I don't know if they're all this way, but my aunt raised them for a while, and they were very cat-like. Especially her favorite, Leo. He always cuddled and supervised in cat fashion.

I know you're looking for a rescue dog, but just sort of throwing that out there. The other dogs I have met who are somewhat cat-like are female labs and a female french bulldog/bichon mix, greyhounds, and the coolest dog I ever met, a female catahoula. I know the latter two, at least, have rescue organizations.

Of course, I sorta know nothing about dogs. But those are the dogs that I remember really connecting with, as a lifelong cat person. :) (The icon is the french bulldog mix puppy.)