Seems like we should have figured out a way by now to use one time pad encyption by default for critical paths, even if that requires new industries to distribute pads and guarantee their security.
They're useful in exactly one situation: when you have a temporary secure communication channel, and a long-term insecure channel. Then you can use the temporary channel to pre-share a lot of key material (say, a 1TB micro SD card carried covertly) and then use that for future messages. But that scenario is very rare.
"Our main cargo is a one-time cryptographic pad. The source is Commercial Security at Sjandra Kei; the destination is the certificants' High colony. It was the usual arrangement: We're carrying a one-third xor of the pad. Independent shippers are carrying the others. At the destination, the three parts would be xor'd together. The result could supply a dozen worlds' crypto needs on the Net for ..."
Key exchanges would be annoying, but they are even more so for one-time pads.
But it will never come to even that: There are plenty quantum-safe asymmetric cryptosystems around.
If we were serious about it, sharing flash drives and even using couriers could make it work pretty well.