This is probably not it, since you've had the tire inspected, but I once had half a staple sticking in my tread, barely visible. No air would leak unless the staple was in contact with the ground.... took me a while to find it, most of the time the tire would hold pressure, some days I'd walk out to my car and it would be down to 10psi or less - it all depended on the position of the staple when I was parked.