I'm sorry to hear that you've been experiencing deep eye pain, burning, and discomfort for an extended period of time. It can be frustrating when doctors are unable to provide a definitive diagnosis or solution. Eye migraines, also known as ocular migraines, can cause similar symptoms, but it's essential to consult with a medical professional for an accurate diagnosis. In the meantime, continue taking the prescribed medication as directed. If the symptoms persist or worsen, it may be necessary to seek a second opinion or consult with a specialist.