The goal of this research study is to find out if intramuscular sternocleidomastoid (SCM) steroid injections work to reduce cough when compared to superior laryngeal nerve (SLN) steroid injection. Study patients will be randomly assigned to receive injections to numb the sensation within the voice box in one of two possible locations, either a traditional voice box injection or an injection into the neck muscle (a muscle in the neck near the voice box). The injections are composed of a numbing medication (lidocaine) and a medication that helps the numbing medication work longer (steroid). The outcomes studied will include if the treatments help to minimize chronic cough and associated symptoms. By better understanding if this treatment helps improve chronic cough, an additional treatment option could help patients with chronic cough. Voice box injections are usually only performed by fellowship trained laryngologists (an extra specialized year of training after ENT training). However, if neck muscle injections are found to be equivalent in treating chronic cough, general ENT doctors could likely provide this treatment to their patients without the need to see a specialized voice box doctor.