Vacation...Florida Keys?

I once saw this resort in the Keys (on the Travel Channel) and I cannot find it. Its a little place where its quiet, with not a lot of technology to bother you. There in one are that cell phones work, no internet access and the only TV is in the lounge. Does anyone know if this place exists, and if it does do you know what its called?

(I would go to a travel agent, but don't want the high pressure until I am ready to go.)