It could be silent reflux, or post nasal drip. The endoscopy probably would have revealved these conditions though.
Poor you! The symptoms you're describing sound like the dry coughing and gag reflex caused by a nasty post nasal drip. If the drip is very irritating and you're coughing yourself silly, it's possible you've strained a muscle in your chest, which would explain the pain you're experiencing.
I'm surprised your doctor didn't mention this possibility to you. I suggest you get more expert medical advice, maybe some antihistamines and a good, prescription nasal spray. I expect that will do the trick for you :).
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