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Tai chi is wonderful for your balance and posture. It consistently shifts your weight from one foot to the other and changing your center of gravity with different positions. It is also slow, and a very patient form of martial art if you don't want to progress too quickly. I think that's the best part. If you find it is not working, I think yoga is a very good alternative although it is more strenuous than Tai chi.

The Chinese characters for Tai Chi Chuan can be translated as the 'Supreme Ultimate Force'. Although the site shown in source 1 talks of balance of activities performed by the body, there is no mention of the sensory organs with that of the brain specifically. However it also talks of meditation and yoga. I suggest to go through the sources which may help you to have an idea of the benefits from the practice of Tai Chi. Details from source:

1. The Chinese have always maintained that inactivity is the major cause of illness. Thus, they have developed numerous systems of medical gymnastics both to cure as well as prevent disease. Of the many exercises they have devised, they consider the martial art tai chi chuan to be the best.

2. Tai chi, brings into play every part of the body and benefits all bodily parts, not just the musculoskeletal system.

3. Scientific research conducted at the Medical Academy of Shanghai, the Tangshan Medical Center and Bellevue Hospital in New York City has shown that tai chi chuan stimulates the central nervous system, lowers blood pressure, relieves stress and gently tones muscles without strain. It also enhances digestion, elimination of wastes and the circulation of blood. Moreover, tai chi's rhythmic movements massage the internal organs and improve their functionality.

4. Perhaps tai chi's greatest attribute, however, is the fact it channels the flow of chi (intrinsic energy) through the body's meridians. According to traditional Chinese medicine, as long as this flow is uninhibited, a person will remain healthy. If the flow of chi becomes obstructed or unbalanced, illness will result. The correct practice of tai chi chuan guides the individual's chi through the meridians and restores its balance throughout the body.

5. Tai Chi chuan students learn how to breathe deeply from the abdomen.

6. Although the "chi" in tai chi chuan does not have the same meaning or Chinese character as the "chi" that means internal energy, many practitioners claim training in the art does enhance the flow of the vital stuff in a student's body.

7. In North America, tai chi chuan is practiced primarily as a health exercise and not a martial art. Tai Chi, as it is practiced in the west today, can perhaps best be thought of as a moving form of yoga and meditation combined.

Yoga also gives benefits due to the breathing techniques and information on the same is givenhere:

The yoga breathing techniques, known as pranayama, have many health benefits. They increase energy levels within the body, strengthen the immune system as well as the internal organs and glands, reduce stress, purify the body and improve memory. They also enhance the cellular expulsion of carbon dioxide, increase arterial circulation to the brain, reduce levels of lactic acid in the muscles, and stimulate intestinal peristalsis.

VR

If getting balance is possible from a physical practice, then Tai Chi should do it.