I can't tell if you're joking or serious - but Fiddler (in English, please) wouldn't be a bad idea.
I don't think Birdie would be a great idea - especially with the plot changes they were already proposing. And I don't think Evita would have much appeal for anyone except us die-hard fans. (Joseph and Phantom would be the 2 obvious other Webber choices - I can't really see any of the others in this context.)