It likely would be more expensive to drive than ship it.
Your choices involve cost and time spent so far.
Here’s more to consider.
Some vehicles can serve well for years, but suddenly, they hit a new altitude. I too have traveled coast to coast. I have lived in various altitudes. Altitude changes can affect vehicles, women’s cycle, food, and I have had shampoo explode in my luggage. Making the drive could be gorgeous, or could leave you stranded.
So far, you have two options. One other is sell, and buy a new car in Florida.
If you choose to drive, give yourself plenty of time. Plan thoroughly, include time to see unexpected things along the way, allow an additional two days minimum for unexpected issues, such as weather. I once got stuck in a sandstorm so bad, travel was restricted for hours. I had to hunker down at a gas station for over six hours. Fortunately, they had a nice little deli.
Also, a trip that long can begin exhilarating, but after a while can become a tiresome chore. It is advisable to allow time to explore sights which may be not expected.