"the only choice left" is correct and usable in written English.
You can use it when there is only one possible option left to choose from. For example, "The only choice left was to move to a different city."
Fox is the only choice left".
"But that's the only choice left for us now.
The only choice left, many here said, was something dramatic and surprising — something that would turn things upside down.
Make mistakes, and the wrong choices are grayed out, until the only choice left is the right one.
But at least one of Lincoln's staff is beginning to think this is the only choice left.
Despite the importance of this growth of federal responsibility, the New Deal's greatest achievement was to restore faith in American democracy at a time when many people believed that the only choice left was between communism and fascism.
As the Tories have already used up Jeremy Hunt and Maria Miller, their MPs with some media credibility, the only choices left claiming expertise are rival headbangers Rob Wilson and Philip Davies.
Only a few, like Charging Elk and his friend Strikes Plenty, refuse to give up the old ways, until the buffalo become scarce and the only choices left seem to be slow starvation or the degrading life of the Pine Ridge Reservation.
"If more money from tax or borrowing is ruled out, the only choices left may be even less attractive, including reducing access and services, closures and reductions in staff," he said.
If more money from tax or borrowing is ruled out, the only choices left may be even less attractive, including reducing access and services, closures and reductions in staff".
Those are really the only choices left for the politicians, as the people in state after state jettison the War On Weed on their own, at the ballot box.
