I keep encountering this situation, and I've got no idea how to counter it.
I simply can't find a reliable way to make the three black stones survive.
That's because black is in real trouble here.
The best advice here is: don't get into this situation. Analyse what happened before and identify where you could have avoided this.
It should be possible to generate many nice problems out of this situation.
Patient: Doc, it hurts when I do this.
Doctor: Don't do that.