In a large bowl, mix the cucumbers and salt and set aside at room temperature for 30 minutes.
In a colander in the sink, drain and rinse the cucumbers thoroughly under cold running water. Set aside to drain for 10 minutes.
Press down on the cucumbers to extract as much liquid as possible. Transfer the cucumbers to a large bowl and mix with the sour cream, dill, vinegar, cayenne, and season with pepper, to taste. Serve immediately, or cover and refrigerate for up to 24 hours.