In Hough's first edition text "Basis Soils Engineering", in Chapter 12, he presents a chart relating void ratio to compressive stress, showing several examples of in place void ratio varying with log of compressive stress as straight lines. So what this requires is knowing the void ratio to start. He also has a chart showing N value vs Relative Density and then how to get to void ratio.
I believe his text is for sale on the Internet. Original copyright 1957. Again relate that N value to the cone results.