I have 2 hounds, one male and one female. She is more aloof, but is so playful and funny that I really don't care. She is a fun dog who just likes to be alone sometimes, too. She was on the track for a long time. When I got her she had just turned 4. She ran many, many races. My male is far from aloof! He wants to sit with you on the couch and we hold hands, believe it or not! He lays his head on my lap and loves any type of attention. I think you will be happy with a greyhound. I would suggest that you have your daschound with you so that you can be sure that they will get along. Good Luck and post when you get your hound.
OH, welcome from Ohio!
Sorry it's so long!