I qualified in Ayurvedic Medicine and so I can speak only for my field. There are a few non-invasive and non-namipulative treatments you can try. One great treatment is called KathiBasti in which effected area is being pooled for 20-30 minutes in warm medicated oil specifically selected for that particular condition. Whole affected area must be constantly submerged in the oil and the temperature of the oil has to be kept constant. Thus, oil is allowed to slowly penetrate through layers of tissue to the problematic area relaxing muscles, decreasing inflammation and providing nourishment to the surrounding tissue. Treatment is then followed up with massage of the surrounding area and gentle steam with towels. It relieves the pain tremendously, but you would need a few consecutive treatments.
The other treatment is called Pindasveda, which is a special massage with hot herbal poultices. It is not used directly on the prolapsed disc, but helps to break down the stiffness of surrounding area. Relief can be felt already after first treatment.
There are several internal treatments you could go for, but you would have to speak to your Ayurvedic Consultant first.
Always make sure you find a qualified and experienced Ayurvedic therapist or Ayurvedic centre for these treatments.
All the best,
Kristina