I didn't count the Arrival because it didn't feature an individual icon like Jack and Director. And even the Director was a tiny stage he worked by himself. Jack has been the only icon featured with a full-fledge production of his own.
And that's my biggest argument against her getting a show. They're not just similar, but nearly identical. So the flaws with a show featuring Jack are the same flaws you'd find with Chance.
And the biggest issue is that both characters HAVE to have someone to play off. They're both loud, aggressive, and dominating, and give them no one else to talk to (besides the crowd) just turns them into a barker or stand-up comic (or magician). Any of those things won't be given the same reaction because the banter isn't there. Jack always played well off Chance because they were the same. Now, who does Chance have? Does she imagine Tiny? Does Universal really go out the with TWO Chances on stage?
But that's the issue, and it's a pretty glaring one to me. That's I've thought from the Chance reveal she'd be a barker in her zone and that's it. That would (in my mind) be a better use for the character because she can actually play off the guests. Regardless of talent, giving one person a stage like Carnage but no one to really interact with will play like a sad, lonely girl struggling to make friends.
I may be wrong. But if I am, watch it be because she imagines Cindy to work with her.