Honestly, there's nothing in particular that would make the trip any different than most other baseball tournament destinations. Fort Myers Beach is worth seeing. There are a couple of malls if you like the shopping thing, but otherwise, it has most all the usual suspects with regard to chain food, hotel and stores.
Traffic this time of year is pretty simple (if going during the summer, bridge traffic to and from the beach can be iffy).
The only thing that we have on our "must do" list each trip is to hit our favorite seafood dive. Hole in the wall with great gulf seafood. Skip One. They added one on the way to the beach, but we prefer the original on US41. Address is 15820 S Tamiami Trail, Ft Myers.