Here is 2011 KY Gov.
Here is 2015.
And here is my model for a narrow Democratic win in 2019.
They won't win with rural voters. To be sure, beating Clinton in coal country is part of the path to victory, but several coal counties still flip to Bevin. Where they beat him is in the 3rd, 4th and 6th districts, in the comparatively wealthy and well-educated districts.
This map depicts a 48.54%-48.27% Democratic win.
CD Results are
KY-01: 38.05%-59.03%
KY-02: 45.30%-51.60%
KY-03: 65.66%-31.39%
KY-04: 51.13%-45.32%KY-05: 29.44%-67.20%
KY-06: 57.66%-38.24%