I had the very same symptoms before finding permenant releif using a reduced carbohydrate diet. Yes, you can have the cough, sore throat without the heartburn. I feel terrible for the many people posting here, because I have found a solution and documented it in my book. Unfortunately, I cannot mention it as it would violate the rules of the board.
I have found and documented evidence that the consumption of excess carbohydrates is the root cause of GERD and by reducing your carbohydrate consumption you can completely eliminate acid reflux. This is the only dietary approach that I am aware of, that really works and it only takes a couple of days. Please give this approach a try.