So I want to go to Oaxaca to learn how to cook?

I'm a big foodie and I want to learn to make good, authentic Oaxacan food. I want to go spend about a month or so over there. Ive looked for cooking schools and have found only day courses. Any ideas on how to go about this? Wheres a good place to stay for a long period of time? Restaurants to try? Markets to visit? Thank you.