Or, you don't.
This question is predicated on the notion that such a break though is made by an academic (as was Schnorr). And also that it would be "catastrophic". To whom?
Since we're dealing with alternative realities, can I suggest an alternative to your alternative? Since the The brightest and best cryptographers work for the NSA, so imagine if the NSA achieves the breakthrough. Would that not then be an "advantageous" break through for the entire world? It would only be catastrophic for terrorists, paedophiles and those countries we don't like. And disclosing such would only benefit them. This is the main principle of the NOBUS doctrine.
So instead of naive disclosure, the discoverer might try being a patriot, think of the children and keep it within/offer it their government.
Or, or, you could try to sell it as discussed here. If cryptography is your profession and rice bowl, then why not?