The canonical way to benefit positively from unanticipated random events is to buy volatility. There are many ways to do this - long delta hedged put/call options, long straddles/strangles, long butterflies etc. But perhaps the easiest way is to buy VIX futures.
Unfortunately, if you had a passive long investment in VIX futures since March 2004 (the earliest you could trade them) you would steadily have lost money - despite huge gains in the latter half of 2008 (and to a lesser extent in other periods).
The market is well aware that insurance-like products are useful, and so they are priced accordingly. Buying volatility is expensive.
The short vol "picking up pennies in front of a steamroller strategy" comes with the risk that you could be completely wiped out in a crisis. This happened to a lot of desks and funds practicing vol arb in 2008. But the flip side is that if you want to buy vol, you need to be able to absorb the punishing losses that can persist for years before you get to the big wins.