Careful…
you might lose "carbon credits" over this.
But seriously... Yes, growing up without A/C in the fifties and sixties WAS a problem. Sweating on the sheets is truly an icky feeling and made deep sleep a rather rare occurence. I hope I never have to experience that again. That's why we did what we did to solve the problem. True, A/C is hard to beat but try what I suggest for one night sometime before you camp at Ft. Myers. It WILL make a difference.
Another alternative is to set your home thermostat up a degree every few days so you and your infant can become slowly acclimated until a week before the trip your house temps will equal those of the Ft. Myers' May evenings. Just think of the money you'll be saving on your electric bill as well.