I have to eat a bit of crow. I lumped in the region with the Louisiana portion of New Spain. The OP includes it in with Florida. Doesn't do anything regarding Spain's doing anything with it, but it does affect when and how the US gets it.
the most realistic boundary is the Tennessee river. south and west of it is what Spain claimed, OTL. Can't see them getting, or the US accepting, anything north or east of it. I don't really see all that territory being lumped in with Florida, but that's the OP.
This means that IF the US still buys LA, and they're still going to want New Orleans, the connection would be through Illinois. This would give them an opportunity to squeeze Spanish Florida from two sides. Nap may also force Spain to give up all but OTL florida in 1800, which brings us back to my original post.
IF no LA purchase, that's a game changer. Otherwise, it's just a matter of when the US takes what is OTL southeast US.