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It'll be interesting to see how the apocalypse plays out (when and if it plays out). My educated guess is that said apocalypse would be a results of 2 key things--rogue artificial intelligence and the ever expanding internet of things (IOT). If some rogue AI hacks its way into web connected defense / weapons systems and everything else that's web-connected, that could be the catalyst / beginning of it.

I'd be willing to guess that constitutional silver would be valuable in terms of trade and bartering, as would food, weapons, and ammunition. Hopefully it'll never come to that but we must hope for the best while planning for the worst.