Living remote is a two-edged sword. It will keep you and your’s away from many of the risks and dangers that can be associated with the results of unprepared people living in close proximity and experiencing some serious societal disruptions. That is as long as you yourself are somewhat able to be self-sufficient with enough food, water, security, and adequate shelter from the elements. But, like Whiribird said, remoteness can also be your undoing because help may not be available should you require it during an emergency…. any emergency.
My advice to you, Littlesister, is to have a place to go in advance of having to evacuate the coastal area. You can travel to much of the state on a single tank of gas. I have a friend who lives in a hurricane-prone area. I suggested that he maintain a small enclosed trailer stocked with non-perishable emergency supplies that he could just hook to and go. Maybe something you should consider.