Trump owns a resort in Palm Beach, Florida, where he has often traveled during his presidency, as well as three golf courses in the state.
The full breadth of the damage remains unclear, particularly in the hard-hit Keys, where communications and travel were still hard.
At 5:00 AM ET on Monday morning, the National Hurricane Center downgraded Irma to a Category 1 storm, though it continues to batter Northern Florida with heavy rains and sustained wind speeds of 75 miles per hour at its center.
For a bit of positive news, the state agency added, "Hurricane Jose does not pose a threat to Florida".
"The Keys I'm very concerned about, the Marco Islands area, we have a lot of concerns about that", Scott said on Fox News.
Losing some of its deadly strength but retaining its vast size, the storm stretched from Florida's Gulf Coast to the Atlantic as it churned past Tampa.
At 9 a.m., more than 200,000 people were in 587 shelters across the state.
Federal funding also is available to governments and non-profit organizations for emergencies in all 67 Florida counties.
In Georgia, utilities reported nearly 390,000 customers without power.
With about 3 million people, the Tampa Bay metropolitan area is the second-most populous in the state.
School districts in hard-hit South Florida, including those Broward, Miami-Dade, and Monroe counties, are all closed until further notice.
Almost 400,000 were out in Pinellas County. "As a result, our west coast customers will likely be without power for a much longer period of time".
"We did everything possible we needed to make sure that nothing was going to put us in any physical danger", weather Juston Drake said Monday.
Earlier forecasts of a storm surge of at least 5 feet have yet to be verified. "We're afraid of flooding in downtown".
Have you been following coverage of the storm? In the Atlanta metropolitan area, about 13.2 percent of stations were out of the fuel, according to information service Gas Buddy.