Congrats
As a local first responder/volunteer fireman and certified emergency manager, I'll offer my congrats for having the kind of talents necessary to respond to an emergency such as this. It's not a good environment for the victims, nor the responders to have to rely on someone just called up at random. It's sooooooo much easier to have someone with known resources and talents to call upon.
For those of you who want to establish such relationships with the authorities in your local jurisdictions, I'd suggest contacting your local emergency management agency. While every local jurisdiction has their own ways of doing things, the local EMA has a requirement to develop a list of local resources for their LEOP (Local Emergency Operations Plan). This action is federally mandated under the National Incident Management System (NIMS) through the Dept of Homeland Security.
The short story on an LEOP is that this is a set of guidelines and checklists that have been vetted through plans and exercises so that local leaders have a structured plan to respond to likely emergencies. One part of this plan includes canvassing the local business community for services that the local government cannot provide. This can include anything from tree removal services to gravel haulers to mobile cranes - the list goes on forever.....
Depending on how far your local jurisdiction has gotten into the planning, you're likely to find listing of firms that have agreed to respond to emergencies, a pricing structure for services and even training in disaster exercises.
In my own jurisdiction, we're as far as defining likely scenarios for major disasters, and defining requirements for assets that the county cannot provide from it's road department, fire department, or available mutual aid from surrounding governmental agencies. Take it from a guy who's involved in the planning side of things, I'd much rather consider someone who seeks me out with a list of equipment and services, than have to sit and cold call a business to ask them what they have and would they be interested in responding.
As a hint, the big jurisdictions (the Cities) who have a full time emergency manager and staff already have this figured out, the towns are somewhere in the process, and the villiages and communities, with only volunteer EMA types, or where the EMA Director title sits as a second hat for the sheriff, fire chief, or something similar, the process has only begun. It only takes a phone call or two to get things started.
If anyone is really interested in this, I'd be happy to discuss things further.
Anyway, congrats again.