One idea I had was using children's songs - things like "Wha Saw the Forty-Second", "Katie Bairdie",
"One, Two, Three-a-Leerie", "I Had a Sausage", "In and Out the Dusty Bluebells", "Mactavish Is Dead and His Brother Don't Know It" - try Ewan McVicar's new book for lots of these. The advantage is they're quite short, rhythmically varied, and nobody will think you're taking yourself too seriously.

Or a very fast comic song like "McGinty's Meal and Ale" or "Mary Mack" (or "The Rocky Road to Dublin", already mentioned, but that rhythm is never used in Middle Eastern music).