Funny you should mention this place. DH just found a visor and frisbie from there when he was cleaning today. We stayed there several years ago. I had to be in Fort Myers on business in August. Since this is the off-season, the Pink Shell was discounted and was cheaper than the Homewood Suites inland where I usually stayed. The kids and DH hung around the beach all day while I worked.
It wasn't fancy and we stayed in a studio, so the kitchenette and bedroom were all in the same room. Hard to beat the location, though. We stayed at another place on Fort Myers beach farther south that was WAY too noisy all night long from the traffic.
It's not really ALL that close to the airport and I don't remember any real close restaurants, though I think there is a trolley that runs along the beach. I would want a car for a day trip to Sanibel and other assorted journeys.
Sheila