Beside run flat, which gives you a punishing ride, and 18" spares. There're isn't such solution beside get yourself a premium AAA card.
I'm running BBK on the front and rear so it doesn't matter what spare tire size, it won't clear. I keep a set of monkey wrench tire fix and an air pump in my car for small leaks on the road. Anything bigger I just pray to God and hope He sends down some fixes.