Well, I grew up in Fort Myers, but it's changed A LOT since I lived there. There used to be a WONDERFUL BBQ restaurant on the way to the beach. It was right before the intersection where the beach road goes left and the Sanibel Island road goes right. It's called Hickory BBQ. There is of course the beach. There is the Shell Factory if the kids like all kinds of shells.
I haven't lived there in over 20 years. I'll forward the request to my brother who still lives down there and see what more current ideas he has.
I can't believe I forgot about the Edison and Ford museums!!!