Your bank could send you a DVD or USB device with the OTP material on it. Eight gigabytes out to be enough key material to get you through all the banking you need done. Or smaller pads could be distributed to you by the bank over the internet protected by a symmetric cipher (which remains resistant to QC attacks).
That's an interesting thought. If a list of totally random numbers is encrypted, even with a weak encryption scheme and weak key, could it ever be decrypted by an eavesdropper? Doesn't the ability to crack something require patterns in the data? If there are no patterns to exploit I can't see how it could be cracked. If they stumbled upon the key how would they even know it? If this is true then we can live without public key cryptography in the future should it become crackable (though it should be assumed the NSA has already cracked it).