I wouldn't cancel but I would check on the roads that you plan on traveling. I would imagine by the end of the week all major roads will be clear. But it wouldn't hurt to check and that way if you have to go a different route you already have it planned. Also if were planning to stop somewhere over night in FL, you might want to check on that hotel and make sure they are ok. I wouldn't plan on take a wait and see attitude on stopping over night. If you think you might stop somewhere in FL over night make plans for it.
Hopefully the tropics will start to settle down now. Yes hurricane season runs through Nov but as soon as those waters start to cool down you see less and less storms.
I hope you have a great trip!
Take Care
Jamie