Definitely a basket. Id pick AED, SGD, CHF, and why not throw in minor positions in like THB, MXN, GEL.
AED, yes, I know it is pegged to the USD, but I think if the USD goes down they may repeg the AED higher, or peg it to something else more stable.
They have actually re-pegged higher before. In 1967 the UAE used the Dubai Riyal which was pegged to the British Pound Sterling at 1 shilling and 6 pence. That year, the sterling devalued, but the Dubai Riyal changed the peg to 1 shilling and 9 pence to keep its value in relation to gold.
Also you can get great interest rates in AED (basically you get USD rates) without annoying US witholding taxes.
SGD: Singapore is an usually well managed country, with strong rule of law, economic freedom, no crazy high taxes, strong growth, attracting smart/rich people. SGD reflects this. Although no one is fully shielded from a scenario of a big USD and EUR crisis, Singapore is at least further away in Asia.
CHF: It is the best performing currency in the world over any long term horizon, outperforming even the USD. Yes, interest rates are low in CHF, but in the past it has still been a good safe bet, appreciation has compensated for low interest rate. Switzerland has an unfortunate position in the middle of the eurozone I know, and cant totally deviate from EUR short term, but in a Euro break up scenario people will flee to the CHF.