You didn’t read the OP. Wired Is Not Possible

Furthermore I own a similar model, the 550BTs. The “Tune” line does not support USB Audio at the 5xx range of models

Additionally you must not chain adaptors as it will sound terrible and you will get the lowest quality output.

My 550BTs have included a 2.5mm -> 3.5mm jack cable and it has a 2.5mm Jack on it for wired audio output. An official Apple Lightning to 3.5mm jack dongle will work but the OP would rather not use cables…Therefore a Bluetooth model is probably needed.

I strongly recommend the 550BTs, and the 660NCs as well