An act at my folk club did 'House in New Orleans' to the tune of 'Oh Little Town of Bethlehem'.
Try it. It works beautifully.
Of course, Zappa did "Lonesome Cowboy Burt' as both the Nando version and the Swaggart one:
"Where's my waitress prostitute?"
Apparently, in the Swaggart version, he left "just the tip".