What to check after blowing tire off rim
I'd change it for a better tire, one that's much tighter on the rim. 

You inflated out to only 15 psi over its maximum. That kind of force could easily be generated in a quick turn with the brakes on. If the tire blows off in such a scenario, then you'll be underneath the vehicle you were trying to avoid. 

Go to your LBS, and explain that you want a tighter tire. They should know which tires are tighter. Don't let them argue with you, this is about the safety of your life. 

(While tires and rims are supposed to be a nominal size, some are slightly larger and some are slightly smaller. Having a large tire on a small rim makes changing tires easier, but at great risk. Hence my advice to find a tighter tire).