I would not mess with the taxes in the State of Florida, especially when it comes to aviation, and suggest waiting to register the airplane until you're almost done.
I didn't do that and I spend years trying to make it right; I kept hoping the state would follow through with their threat of legal action because communication got me nowhere. It only ended when they finally tried to put a lien and a lawyer involved.
Interestingly, my tax bill ended up being about half of what I offered to pay... but the penalty brought it back to exactly I had been trying to pay for years.
I would make sure I make all the payments on time and keep a copy of all associated paperwork. When it comes time to register the airplane, I would give the aviation division advance notice as to what payments have been made and which ones may be due.