What are considered the common unorthodox cures for migraines?

There are none: If there were cures for migraines of any kind--orthodox or unorthodox--they would be well-known due to the high numbers of migraine sufferers in the world. There currently is no "cure" for migraines other than figuring out what the triggers are for each individual and completely eliminating those triggers from that individual's life.

Identify triggers: There are certain foods and aspects of lifestyle that can trigger or worsen headaches and migraines. The best way to identify triggers is to maintain a headache diary and keep a list of foods eaten before your migraine. Common triggers include chocolate, caffeine, cheese, msg, processed meats, alcohol, smoking/being around smoke, stress, skipping meals, lack of sleep or too much sleep.