Dry mouth can also affect your teeth, so do get in for a dental checkup. I use ACT or Oral B mouthwash (xylitol, no alcohol) and it gives me relief for several hours. I brush twice daily, using an electric toothbrush and/or a waterpik. You can massage your salivary glands on your lower jaw to see if you can activate them. However, coughing could be something else, so check in with your doctor, too. I have the biotene dry mouth lozenges, spray and I think there is a "paper" tab that you can use instead. Chewing gum helps too.