Wasn't it in CHER's arena a while? She's the right age, and outrageous, and would certainly add the glamour. I think her vocals would be fine, too. But Burnette would be more Ball.
Truth be told, though Lansbury was chic and warm and it changed her career, the definitive comedic take on the character will always be Russell's. Perhaps only Charles Busch comes close to the Russell brand of elegant humor. It's never been as funny without her (and neither has WONDERFUL TOWN, for that matter.)
"I'm a comedian, but in my spare time, things bother me." Garry Shandling