I’ll say a few words about Florida State University… Overall, a good school - one of the best in Florida. It has a great reputation. Pretty affordable for out-of-state (especially comparing to other public universities).
Keep in mind that it is definitely a party school with lots of Greek Life. To me it was a downside, as I was trying to avoid that. FSU is also a very big school, with over 30,000 undergraduate students. If you are looking for more individual approach, I’d go somewhere else. Also, Tallahassee is definitely not Miami. It is a pretty small city and feels very different from many other bigger Florida cities.
If what I mentioned above sounds good to you, I’d definitely recommend applying. I have several friends who go to FSU right now and absolutely love it there.
Good luck with your college search!