The only solution is backup hosting in a separate data center.
Personally, if I heard the FBI raided a datacenter and knocked a bunch of servers offline which had nothing to do with what they were after, then I'd seriously question the security, legal team, and response team of that place. To me, it sounds like the FBI just showed up to one guy sitting in a chair watching TV and let the FBI roam free.
Any data center that has been around for bit will have random screwups to a tiny percentage of their infrastructure almost on a daily basis.
"The raid happened at 1:15 a.m. at a hosting facility in Reston, Va., used by DigitalOne, which is based in Switzerland, the company said... DigitalOne had no employees on-site when the raid took place. The data center operator, from which DigitalOne leases space, passed along the information about the raid three hours after it started with the name of the agent and a phone number to call."
Please, that doesn't make FBI seizures any more palatable.