This may be a naive question but why not go back to Vernam? Storage is cheap.
Symmetric algorithms (AES-256 in particular) are generally considered to be quantum resistant. Here is what written about it in the article.
> Symmetric cryptography, using a single secret key to encrypt and authenticate data: In our current understanding, symmetric cryptography is not impacted by quantum computers for all practical purposes. Grover's algorithm could be used as an attack here, but is currently considered infeasible for even medium-term quantum computers. (See "Reassessing Grover's Algorithm, 2017")
The algorithms most affected by quantum cryptanalysis are public key (asymmetrical) algorithms, because we already have effective quantum algorithms against them (Shor's in particular). We are not even close to having the computer though.