The hack that worked for my hacking wasn't a hack.
Turns out I have asthma and my bouts of chronic coughing like what you describe seem to have been a symptom of it.
Basically, one cough would trigger more coughs and more coughs would become a coughing fit.
Treating my asthma seems to be working.
Which is to say, treating my previously undiagnosed asthma seems to be working. And in my fifties, it was weird to have to learn how to recognize I was having an asthma attack and hard to develop the habit of hitting a rescue inhaler.
To be clear, I went to various doctors many times over the years to get symptomatic treatment without being diagnosed with asthma. Going all the way back to childhood.
So on the medical questionnaires I would always check asthma-no because I wasn't diagnosed. It's only because my insurance had teledoc and a random doctor said my description of my cough sounded like an asthma symptom that I got diagnosed and began treatment.
So basically my hack for chronic hacking is competent medical treatment. Which is easier said than done.
Good luck.