Ok so-

The no gos: obviously, all the songs that explicitly refrence d&d shenanigans like unded lesbians or decorating a bear: Twelve Days of Grogmas, Deck the Bear, Cold Inside, O Mighty Nein

The ones you could get away with, if people are distracted: Winter's Crest Festival Time and It's Critmas (ok, soI know the first one is more obvious than the other, but there are so manny nonsense Christmas songs that kind of sound like well-known songs but differ slightly, I think most people who don't know CR will just assume that this is some bizzare off-brand jingle-bells and not give it a second thought)