Might it have been a Renault?
Peugeot, Renault, some people pronounce the both with an "oh" sound at the end and they're both French.
Renault did a lot more rear engine cars than Peugeot. I can't think of ANY rear engine Peugeot other than race cars.
Cabrio (there is a small back seat there).
No grille (assuming you mean no place for a grille, not just that this particular one was missing the grille).
Simulated side scoops. I've seen some with a chrome finished around the pseudo scoop, and they are more convincing looking. For all I know, some of them might have been functional.
Rear air outlets around plate and perforated deck lid.
Links in case pictures above don't work.
http://commons.wikimedia.org/wiki/File: ... le_001.JPG
http://upload.wikimedia.org/wikipedia/c ... leback.jpg
http://image.automobilemag.com/f/166690 ... r_view.jpg
Not sure why it would have a T in the steering wheel, but I could see a the typical Renault logo looking somewhat like a lower case "t" under a crazed plastic lens.
Also, they were called Floride in some markets. Those might have had a stylized lower case "f" in the steeringwheel.
Not air cooled, but certainly understandable why you might think so with all those air ducts and being rear engined.