I concur with the opinions of others who've posted here. Coughing and antibiotics can both be very irritating to your upper GI tract. Be sure to drink lots of water with the medication to ensure that it doesn't get stuck and sit at the wrap site, thus irritating your esophagus before it dissolves and enters the stomach.
Don't worry about damaging your wrap with the coughing. I coughed constantly during th first weeks of recovery and my wrap held and healed just fine. I know it's very irritating, though.
I hope you get feeling better soon!
Words of wisdom by Eckhart Tolle:
"Whatever you fight, you strengthen, and what you resist, persists.”
“Worry pretends to be necessary but serves no useful purpose”
“Accept - then act. Whatever the present moment contains, accept it as if you had chosen it. Always work with it, not against it.”