IterTools and Visualization

I used pmap with IterTools and product to do a a parameter study on a problem, so now I have a scalar quantity of interest generated by 3x3x3x3 different parameters. What I would like to do is plot the quantity with one of the four parameters on the x axis, the value on the vertical axis, and then color code by the other parameters (or a subset of them). Any tips on how to do this (other than manually)?

I would get it to a “tidy” format in a DataFrame, and proceed from there.