The IceCube Neutrino Observatory is a cubic kilometer-sized detector designed to detect astrophysical neutrinos. However, cosmic rays interacting in the atmosphere produce a significant number of muons in the southern equatorial sky. This work outlines a new dataset with large background rejection and high signal efficiency using a boosted decision tree. This dataset is also effective at rejecting atmospheric neutrinos that are often accompanied with muons; this so-called self-veto effect allows us to reject atmospheric neutrinos in the southern sky more effectively. We specifically search for neutrinos that interact within the detector volume resulting in a neutrino energy resolution of ~25%. In addition, our selection techniques target muon neutrinos giving us a median angular resolution of 1 degree. The excellent signal purity and event properties of this dataset allow us to measure the astrophysical diffuse flux for energies above 1 TeV.