This is Dr. David
yes, they do perform upper endoscopy and esophagus examinations at Sibley Hospital in Washington DC
you can search for gastroenterologist GI doctors here at that website.
coughing can be from post nasal drip, allergies, aspiration of saliva into your lungs
in rare cases, if you have bad acid reflux of stomach acid up your esophagus, stomach acid can trickle into your lungs and cause cough.
I would start by seeing a primary care doctor and getting a physical and examination.
your primary can check for runny nose, post nasal drip
and can order some tests like barium swallow, to check for aspiration of fluid and saliva into your lungs which can cause cough.
they can also do lung tests like a chest CT scan and pulmonary function test to check your lung capacity
let me know if you have other questions.
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