[igorkraw]

Ask the customer to pay collateral when enabling this for a service, then use that to pay for the data storage in the shutdown grace period, reimburse it (or count it against future use) if it was never used. You can also easily add this on all the elastic services,e.g. your price per GB simply goes up a bit for S3 in the first month, until the amount of data you have is fully in your "insurance".

Or, you know, price it in and do your own risk estimates to make this a seemless experience, but AWS got away with not offering anything, so I'm already assuming you want to be passing all the cost to the customer (heck, amazon, if you are reading this, you can even skim a little bit of the "insurance" money! )