Well, I normally tell people that Wakulla Springs (
https://www.floridastateparks.org/WakullaSprings) is high on the list, but they have lots of gators! It is a very nice place to visit and to my knowledge they have only lost a few guests to the alligators. Its a state park, and probably Florida's best protected spring environment, and one of the largest springs anywhere.
Angelos is about a 45 min drive south, but their seafood is good, and the setting is spectacular
https://www.angelospanacea.com/ . If you go down to Angelos the Gulf Specimen Marine Lab is worth a visit.
https://gulfspecimen.org/ .
There are a number of nice Antebellum homes that are open to the public, like the Goodwood Plantation (
https://en.wikipedia.org/wiki/Goodwood_Plantation) or Pebble Hill (
https://pebblehill.com/visit) if that's your thing there are more.
Unfortunately you may be too early for the Sopchoppy Worm Gruntin festival, the high point of the social calendar? April 9 this year,
http://www.wormgruntinfestival.com/
I lived just south of Tallahassee for a long time, I like the area.