I found my shin splints improved after I got some orthotics from my local physio. They recommended i didn't spend the hundreds of dollars getting custom made ones but instead purchased some off the shelf and they heated them to mould to my foot a bit. Much cheaper and certainly helped.

I also was told by my foot/ankle surgeon to run on the road as opposed to the concrete paths. Apparently it is less impact because of all the little grooves in the road around that allow your shoes to absorb some of the impact - if that makes sense?

Also icing after a run and don't over do it, build up your running slowly and listen to your body.

Good luck, I LOVE running!