I live (practice and teach Taijiquan) in NC, but I would need to know much more from you. I am not very social, so I am probably not the best person to make recommendations, but since nobody else has replied, I’ll try to provide some information.
Are you looking for classes at the coast, piedmont, mountains, Charlotte, Raleigh...? Are you looking for Yang family style, CMC, or are variants of Yang style OK (e.g., Cheng style, Fu style...)? Are you looking for an ethnic Chinese teacher or are American teachers OK...? Are you looking primarily for forms, interactive work, fighting, weapons, fun, health, culture...? Are you looking for a teacher who only teaches Taijiquan, or would you prefer those with backgrounds in, and teach, other arts (Bagua, Xingyi...). What is “good” greatly depends on what you are looking for, and what may match your needs and goals.
The major umbrella organization for Chinese martial arts schools in the Carolinas is CACMA, and they host an annual tournament near Charlotte. You could try contacting them for recommendations since they would know more teachers than I do.