Even though you may be on the "clean side" of the hurricane, there will be numerous tornados.
See how this thing tracks, and if the roads clear up. Then reconsider. In any case, be ready to go. If you stay, be prepared for about a week without water, power and sewer services. Can your kids take the 100 degree heat for a week?
In any case, you and your family are in my prayers.
It may be better to evacuate after the storm due to the traffic. It is truly brutal out there and if you don't have the gas, there's no point.