I don't understand. How does the presence of a headphone jack preclude you from using your Sony headphone?
Hopefully Google doesn't follow apple's lead next year by dropping the fingerprint scanner.
True cordless or a neck cradle or connecting wires ok?
Good luck with that. I have done a lot of research, and I have only found crap. I don't think I have ever found one with more than 2.5 star reviews. The key here is that I want in-ear, not over the ear like AirPods. And carrying around big clamp-on types is not an option. I want something I can put in my pocket. Maybe someday there will be a good set available, but until then, this really sucks...