You can let food be your medicine, but don't expect insurance to cover it.
Likewise, medical research tells us that pets provide their owners with stress relief. It also tells us that too much chronic stress leads to disease. But show me an insurance company that will reimburse for pet food and vet bills, and I'll show you a three-legged duck.
The one alternative health care practice that insurance does cover is exercise. They do this by paying for the cost of joining a gym. Joining is covered; the monthly fees, however, are not.
What healthy lifestyle choice would you like to see covered?