The downside to high performances tires, usually the sidewalls are fragile.
Conti makes a gatorskin tire, but many people say its like riding on a garden hose.
I use Schwalbe ones, but they are just as fragile as your recently deceased tire.
At least you got 300 miles out of it, I had a brand new tire get sliced from bead to bead on its very first ride, by a folded up box cutter blade.
I was non-plussed.
RE: need a new tire