I'm sure that has to be very aggravating for you. Sounds like you might have what we call "preacher's throat"! My father, a preacher, gets that quite often and he uses this product:

http://singsmart.com/vocalhealth.html

He swears by it. . . says it feels like someone is rubbing sandpaper on his throat sometimes, and this is a big help. Another option you can try is an appointment (often only need one) with a voice coach. You can sing, they can observe. Then they give you tips for good vocal hygiene and tell you where they think you can sing "cleaner." You would be surprised at some of the more "seasoned" vocalists who have benefited from this. Also, I cannot stress enough how important it is to just rest your throat. My dad sometimes has to go an entire day or two without talking at all. He does it when he doesn't really have to do anything else, and he carries a white board to communicate. During this time, drink herbal teas with honey. Honey has soothing and anti-inflammatory qualities. Also, if you're not doing it already, make a point of keeping yourself well hydrated at all times. Watch the caffeine--a little is very good for us--a lot with zap your fluids. Drink a lot of water and honey, let your voice rest, see a vocal coach if you can, and try the sprays at the website above. Because the ENT hasn't noted anything else (except possible reflux, which you're controlling), this should show an improvement after a while.

Good luck with your career!