Matt, there are already a number of good answers on here regarding different modalities that can help speed up the healing process and deal with the associated symptoms. I'd like to paint the picture for you of what actually needs to happen at the tissue level in order for the injury to heal. That way, you can decide which modalities work best for you in achieving these goals.
The most important thing for healing, especially an injury like this, is good circulation. At the time of the injury, the body creates inflammation in the area as a part of the initial healing response. This is normal, but the fluid that accumulates there can quickly become part of the problem as waste products build up in the area and oxygen and nutrients are unable to reach the area in sufficient quantities to allow optimal healing. There, we have to move the swelling out of the area to allow for proper circulation. Acupuncture, cupping, massage, topical liniments, and other approaches can be helpful for this.
Next, we have to rebalance the vectors of force acting on the injured area so that it will heal in the proper alignment and not re-injure easily. This is done through manipulating the tension in the muscles and tendons acting on the injured area. In the case of the ankle, these are primarily the muscles and tendons of the lower leg.
With injuries to muscles and tendons, the strain/tear usually occurs at the point of insertion into the bone. Therefore, working with acupuncture needles and/or hand techniques at the level of the bone to encourage circulation directly at the area of the injury can be quite helpful.
Because these injuries can take months to heal, stabilization is also important in order to avoid injuring the area again. Acu-tape (or something similar) and braces are good options for this. These should be used during times of activity and removed during times of relative rest in order to allow the restoration of proper range of movement and muscular balance.
Finally, consistent application of topical liniments and/or salves can do a great deal for encouraging circulation and healing, as well as relieving pain.
I hope that explanation helps to give some context to everything being discussed here.