Wow! Saving 10 K is pretty good - you should be proud of yourself! It does go fast though so you will need more coming in promptly. Before you go anywhere look up job resources in Fla, check out rent prices, make your resume and start sending it out. Put away at least one K to help you go back if you need to - not specifically for moving home but so you can get back to see your family if there is an emergency, or for major holidays and events. It won't help your sense of isolation if you are stranded. Greyhound is slow but cheap.
Have you thought about taking a week in Fla. to get a feel for it? It's a pretty different culture, maybe great, maybe not.