Maybe the only fully cryptographic absolutely zero-trust way? In practice there are very few bitcoin outputs that aren't linked to an offline identity and most users could easily produce a proof of ownership.
Of course, this is not ideal and everyone would prefer not to go down that route. But even if we prepare in time and Bitcoin provides a quantum-secure address scheme before "Q-day", what happens to all the wallets that didn't upgrade? Is it open season on them? Satoshi's wallet alone could crash Bitcoin's value as a currency if dumped on the open market. I think even with the upgrade plan in place, a hard-fork + recovery will be on the menu, with various degrees of community support.