In my view there are two aspects users should consider here: Is your disaster center isolated from a local disaster that may impact your primary location and is your remote center readily accessible in the event of an extended outage? If not, your team needs to be comfortable with remote management and you should be sure that all remote operations are supported with lights-out technology.
It's becoming increasingly practical to construct disaster recovery (DR) solutions in a cloud as well. This requires a larger shift in management for many organizations, but it can harness more cost-effective resources and be more flexible and scalable. More than likely this will require a fairly comprehensive shift to server virtualization.
The issue surrounding this approach is that services may be more difficult to guarantee with service-level agreements (SLAs). These services may be more subject to performance degradation from disasters impacting large numbers of customers. It may be very challenging trying to get a handle on what a cloud-based service provider's infrastructure is capable of; there may be unique security implications, and you may run into various compliance and regulatory hurdles depending on your industry when you start looking at hosting data in the cloud.
DR in the cloud is certainly viable. It may solve a lot of your concerns about the location of a data center because that will force you down this path of managing things in a hands-off way that can be run remotely with any type of personnel.