We had an absolute blast deep sea fishing. Tip - it might be early, but go in the morning! We caught around 20 fish between the two of us. Bonus - you may see a TON of aquatic life. Dolphins, turtles, fish, jellyfish, sting rays, sharks, etc! Sea Spirit is the charter we went on, but there are many more around the Daytona area.
Check out a game if the at the first professional ballpark Jackie Robinson ever played at! Simon & Madalyn both sell tickets during the summers for the Daytona Tortugas (Red's low A affiliate team).
Blue Spring State Park is about 25 miles from Daytona Beach. Beautiful State Park to explore. You can rent a kayak/paddle board, or swim. Also, may see some manatees, turtles, fish, birds or ....alligators. Especially if you do the boat cruise. We loved it!
Maybe not interested in an entire Disney vacation? Disney Springs is a great alternative to experience a little Disney atmosphere. Ride the Skyliner (free!) on Disney property - it's only a short complementary bus ride from the there. Shop, Eat, Drink, etc. at Disney Springs! Simon and Madalyn highly recommend the Cirque Du Soleil show!