This study is being done to see if injections in different locations can help to minimize chronic cough. This is done through the injection of an anti-inflammatory medication (steroid) into your upper arm muscle. The procedure takes less than 5 minutes. There has not yet been a study completed using arm muscle injections. The safety profile of arm muscle injections is expected to be the same as the superior laryngeal nerve (SLN) injection which is in the neck is already used at MUSC in regular practice. This is the same medication and the same dosage as the arm injection in this study. By better understanding if this treatment helps improve chronic cough, an additional treatment option could be utilized for this patient population. SLN injections are usually only performed by fellowship trained laryngologists (an extra specialized year of training after ENT residency). However, if arm muscle injections are found to be equivalent in treating chronic cough, general ENT physicians could likely provide this treatment to their patients without the need to see a specialized laryngologist. This study will evaluate safety and effectiveness of the arm muscle injection. Steroids are investigational for the purpose of this study.