Anybody had an extended dry, "fake' cough with a chest vibration?

My son had an occasional cough for weeks and weeks, he might only cough once or twice a day but I figured it was a sign of something.
Back & forth to the doctors and I finally shamed them into an x-Ray & some antibiotics.
I finally asked to go to an allergy/sinus Dr. and she said he has had a sinus infection for about six months. Four weeks of antibiotics then another two when it wasn't cleared up.
Now it's almost cleared up after it started in mid-March.
Bottom line is get it checked out & don't take any BS " it's nothing" from your Dr.