It may be a good idea to see a sports PT to determine the underlying cause of the shin splints and get a specific rehabilitation plan.
I would also double-check your shoes, look at custom inserts and/or arch supports. Maybe get a gait analysis from a professional because certain foot, muscle and flexibility inbalances can cause this condition to keep happening. Of course, there are shin spint sleeves that might also be of benefit, but it is important to address all the factors that might be contributing.
P.S. Investigating some natural supplements might also help. Some runners have reported improving with increases in Vitamins E, D, K and Magnesium.
Hope you are back on the way to your half soon!