Wow,
on the coughing thing, I notice that after a brisk lunt about with the dogs, with the pipe clenched, that I get the back of my throat full of smoke, not my lungs. I even get this sometimes when working at my bench with the pipe clenched. My gullet, or back of my throat, gets full of smoke, so that when I take my pipe out and talk, smoke comes out with my words. This also makes me salivate more, thus causing a bit of a small cough. But, I think of a smoker's hack as being more the way I started my day as a cigarette smoker, hacking without doing any real work removing stuff. It's more of an uncontrollable cough, over and over. The cough I get while clenching is more of a quick productive "getting the smoke out of my throat" cough, not a smoker's cough.
But, you may actually have a hack. I'm just thinking about myself, comparing the coughs.