Go enjoy your trip, stay alert without being obsessive and react to the situation if it changes. If I ran every time there was a hurricane threat I would be away from home two months out of the year. Play Safe and Have Fun
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Ditto on that, you cannot predict weather so there is little use trying. This time of year a Gulf storm is less likely, despite the one that they just had. Most late season storms are far off in the Atlantic. Like the one out there right now. The Gulf tends to get storms at the beginning of the storm season so avoiding the Gulf coast in May and June may make some sense but you almost always get plenty of warning now days.