There are thus very few safe-haven currencies for you to invest in.

There are actually four clear winners:

The Swiss franc: Switzerland is the ideal European country - chiefly because it has a large-but-safe banking system. The Swiss National Bank made UBS AG (NYSE: UBS) and Credit Suisse Group AG (NYSE ADR: CS) recapitalize themselves properly and have forced the two to do more wealth management and less investment banking.
The Norwegian crown: Norway has oil, a large trust fund and no European Union membership. That trust fund (actually a very-well-managed, $570 billion sovereign wealth fund) makes this one ideal - even if oil prices collapse.
The Singapore dollar: This is a beautifully run country - the least corrupt in the world, in fact - and is a banking-and-trading entrepôt, to boot.
The Chilean peso: Yes, I'm recommending a South American currency as a safe-haven currency - my 1970s global-merchant banking colleagues would recoil in horror. All the same, Chile is less corrupt than the United States. It has a commodity economy, but is better run than Australia (and less likely to be under cut by cheaper labor, since Chilean labor is still quite cheap). And it has a trust fund (sovereign wealth fund) to guard against a return of low commodity prices.