Depending on a number of factors, the likely visa options are the E-1 and the O-1 but because of the incident, you likely will need a waiver when you apply for a visa and the waiver process can take anywhere from 3 to 6+ months.
And since I only verbally admitted to the TSA agents smoking a joint in New York and was kind of coerced into it no other way to dispute it then the waiver? I didn't have anything on me nor do I really use marijuana