Machine Learning algorithm to predict an outcome where output is not known
What I was looking for is called ordinal regression or ranking learning (https://en.wikipedia.org/wiki/Ordinal_regression)

Edit: I will elaborate more on why this solved my issue
What I was having a problem with was finding a statistical model to appropriately predict the ordinality of multiple independent options. What I cared about was the order of the options and less so about what the value of the options was.

Ordered Logit/Probit describe such models. The provided wikipedia link explains them in far more detail than I can.