The biggest issue is any wind damage to the roof. If it's leaking even a little bit, it's going to be leaking hard for hours.

With a consumer dehumidifier you might get 5-6 gallons per day. A 5-ton HVAC system will pull over 50 no problem. You might have hundreds of gallons of water soaked throughout the framing, drywall, insulation, etc. It can take a really long time to remediate without a powerful HVAC system.

when a natural disaster happens, especially one that disrupts electricity for weeks, your likely first priority is being alive, safe and being able to eat, not mould or your air conditioning.