If you use DuckDuckGo as your default search engine, it's also enough to (in Firefox or Chrome or any other browser where the URL bar functions as a search bar) prepend the URL with "!wayback " (without the quotes, but with the trailing space).
All this is irrelevant to the issue of warning aliens about radioactive waste however, since if we could preserve archive.org, I'd assume we could also preserve a database of radioactive waste locations.
EDIT: Makes things hard if the warning sign was a link however, yes. Could just add a published date then, and I'd assume things would be fine.