S.B.
My kiddo was always a drooly baby. He wore bibs all the time and managed to soak through them. By age three, my son had exercises for us to do at home to help curb it. It DEFINITELY made a big improvement. It was simple games, like he uses a straw to blow a cotton ball, blowing a whistle, blowing bubbles. We practiced swallowing with water. And I was told to make him aware of drool on his chin and have him dry it. There were more activities, but these are the ones that stuck out. I was told if the exercises didn't improve, then "further testing" would be recommended. So it may be age appropriate. It may be something more serious. It sounds like you have trust issues with your doctor. I would suggest seeing a new doc for a second opinion and possibly a switch for the family.