As of February 2023, it cannot be applied to any Creative Commons license.
One reason it cannot be applied is that all Creative Commons licenses except CC0 always require “attribution”, but I do not require attribution for personal, non-commercial use.
If we had to choose a license that most closely matches our terms of use, it would be the Creative Commons license CC BY 4.0. What this site requires of individuals for non-commercial use is a condition that removes the “attribution” requirement of CC BY 4.0 and instead prohibits the standalone redistribution of unmodified songs distributed on this site.
This answer is subject to change due to changing circumstances. Please check back for the latest information.