Lake Park is close to Valdosta, and that is where Helene entered Georgia from Florida, so I am not surprised that they may need repairs to hotels there.
The choice of whether to cancel or not is a personal one that only you can make. You do have some choices.
One of the things I did right after Helene was bookmark the traffic websites for the affected states. Looking at those this evening, I do not see any road closures for I-75. Here they are, first Tennessee, then Georgia, then Florida.
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The first thing I would do is see if there is another hotel that you can stay in for the cancelled night. It may need to be a little farther north than you anticipated. Where were you planning to overnight before the Lake Park stop? Coming farther south is also an option, but eventually you would reach a point where it might make sense to just continue into Orlando. Just out of curiosity I checked Hilton’s website, and all three of their hotels in Lake City, Florida are open and accepting reservations, but only one in Valdosta, Georgia is accepting reservations and several nights are sold out. That could be due to locals with storm damage and repair workers from out of state.
Since I-75 is open, and is a busy commerce route, I would expect there to be fuel at most of the stations right along the interstate. That being said, I would try to fill up somewhere between Macon and Cordele in Georgia, so that you don’t need to stop for fuel along the hardest hit areas. Once you get south of Lake City, Florida, you should be okay fuel wise the rest of the way into Orlando.
If it were me, since you aren’t traveling to or through the hardest hit areas, I would go so long as I could get a room to replace the canceled one. I would stop for fuel more often in Georgia so the car stayed above a half tank, just in case, but otherwise it shouldn’t be an issue. However, I would not leave home without having a replacement hotel reservation in place, and if you are uncomfortable with the idea of traveling right now, there is no shame in postponing or canceling.
Good luck, whichever you choose!