My male puppy had a similar problem. He'd leak drops of pee while sleeping or walking, not even knowing he was doing it. His symptoms also did not match-up with a uti. It would happen several times a week. Now that he's older (over a year), it has stopped almost completely, though it has happened maybe 3 times in the past 6 months. My best guess is that his bladder control is a bit weak.
Sorry I don't have any specific answers for you, but at least you know you're not the only one who's been confused by these mysterious symptoms.
Sorry I don't have any specific answers for you, but at least you know you're not the only one who's been confused by these mysterious symptoms.