I have Anterior Compartment Syndrome in my legs and recently recovered from a stress fracture?

I still have a large number of shin splints on my right tibia and it still hurts to put pressure on it with my fingers. I'd really like to take a women's kickboxing and self defense cl but am wondering if this is a bad idea for my leg. My doctor told me to stay away from running/walking and stick to biking or swimming, but what about this kind of exercise? I really would love to take self defense cles. Help!