Suggest Treatment For Coughing With Nausea And Sleeplessness

39 yr old male, I got pink-eye from my kids ~8 weeks ago and developed a cough at the same time. The pink-eye went away in a week, but the cough stayed. I feel 100% apart from a dry-cough whenever I am tired (consistent). The urge to cough feels centered in the middle of my chest, not in my throat. It s varies depending on how tired I am (I work late hours) but at worst maybe 2 coughs/minute, no bad spells/nausea/trouble sleeping. Over 8 weeks it has shown no signs of getting better or worse. Thank you very much for any advice.