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The only way to do that is to republish the old story in the form of the newly edited one. It's a blockchain limitation. It can be mitigated at the UI level, but it would be overkill. There is much more effort needed for this one, sorry :)

That is the way all Steemit edits are done, even during the allowed one-week payout period.

I've been haranguing the developers to fix the UI for many, many months now. I have been told that the core code will allow it, but the UI is not up to speed. So far, I've only gotten excuses.

I guess I am just going to have to give up and figure out how to do it myself... ;)