If you don't have $2715 to save your self and your family from drowning to death then a shelter may be right for you. If you don't have a car for any number of reasons in addition to not being able to afford one then there are a few options as all is not lost.
Get inside the car of someone else. You will still be in the "line of cars snaking up the interstate" only not quite so obvious.
There are tens of thousands of national guardsmen from all over the U.S. looking for you so as to get you out of there via trucks, busses planes and boats. When they say "We're from the government and we're here to help you evacuate" say "thanks".
There are hundreds of thousands of regular military personal from the army, airforce and coas guard either there or on the way.
Climate change is barely mentioned but twice, once as a joke.
Obviously this is written as if there is another Katrina going on. That's how Harvey was reported here and it wasn't the case. Now you're gun shy.