This kind of event is going to knock anything out that can conduct electricity. The telegraph lines overloaded and caught fire in 1859. Your data isn't safe, if it's on a hard drive, CD, SSDs, the cloud etc.
I can almost see people selling space in deep underground caves for people to put their data in.
In a similar vein on what they are selling for nuclear/world destruction. http://www.terravivos.com/secure/solution.htm
At the end of the day, there isn't a hole deep enough with the ability to self sustain long enough to evade what nature has in store. So let's just deal with it if and when it happens!