I've been stretching and I've tried 3 different pairs of shoes. I stretched for around 30 minutes this morning and it didn't really help at all. Do shin splints hurt all the time? Because my leg only really hurts while I'm running or walking immediately after the run.
Do you have any numbness in your foot?
I ask because I had almost exactly the same symptoms you describe but it included numbness in my toes if i tried to "push through it". I was told that it was just shin splints, everything I read suggested it was shin splints, and I would eventually train through it with good technique and good shoes.
Turns out I had a condition called Chronic Exertional Compartment Syndrome and had to have surgery to fix it. Its potentially limb and even life threatening if you try to just train through it. It creates a feedback loop of swelling in your leg that can cut off the blood flow and the nerves to your foot.
If your pain seems to take less exercise to "trigger" or if there is numbness, talk to your doctor. If for no other reason than to rule it out.