Yes, inland tropical storm weather could be much like you describe. Then again, might not be as intense a rain fall, just steady and prolonged. You can never be certain if the event will be more wind, more rain, or both.
I have some experience in this topic as one of my work duties is to serve on my city's emergency response team. The posts in this thread contain a lot of good information, go real easy on the alcohol beverages, right logdog
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Things to consider: 1. designate one person outside of Florida to be your SOLE contact person in the event if TV weather emergency. You contact that person when you are able; that person serves as info central for rest of family/friends. Streamlines and simplifies things for you; reduces the traffic on telephones/cell towers systemwide. 2. Be sure to safeguard irreplaceable items such as photos, letters, drawings by grandchildren, etc. Those items usually have greater value than material things. Ziplock bags, Tupperware-type containers wrapped in plastic wrap work great. 3. Get powdered drink mixes to flavor your water. Plain water is a life-saver but its blandness gets old quickly (trust me on that). The pleasant taste of the mix is a small luxury. I carry Gatorade bc of extra benefits of the sport drink