You're asking about woods good for arrows, right?
Rivercane (a native kind of bamboo grass)
Bamboo,
Sourwood (if it grows that far south, i just discovered it in the woods in north florida)
Tuliptree or yellow poplar (also available at lumber stores, usually what they sell as poplar, and if you take a tree they usually grow tall and straight, and the wood is light and straight grained)
Ash (green and white ash grow in fla but i don't know how common)
Dogwood,
Oak (water oak, southern red, white oak, and variants, there's always red oak dowels at lumber places if you can't find anything else)
All of these would make good, heavy hitting and durable hunting arrows i would think, though how you make them into shafts depends on the material. Cane, once seasoned and straightened, is definitely a favorite for its durability.
You can also try bald cypress, eastern red cedar, longleaf pine, slash pine, maple, or just about any hardwood (unless someone says nay to those mentioned lol), basically if it's seasoned and straight, the diameter that will work for you and the wood, if it's flexible and hard, ans durable enough to last for hunting arrows, it's gonna work
I'm not positive all the woods i mentioned grow as south as ocala, i think sourwood maybe not but most of the others do. Double check the ranges on wiki or a tree id book
And of course, if you see some shoots/branches that are straight enough or can be easily straightened, try them out! And if you're not sure on the wood id, take pics with what you got and ask people on here!