Not sure that one was ever ordered, but I think the K was available with rams, A/C, 4-speed, and a convertible top. That would have been pretty special. Speaking of which, I think the F Special in 1960 would also qualify as a ram inducted, air conditioned, 4-speed convertible, and obviously a bit more 'special' than the number of K convertibles built.
With a shorter 122" wheelbase, and a 390HP short ram set up, perhaps the K would give the F Special a run for its money?
Not available, but theoretically possible, a 70 Hurst convertible with 426 Hemi or 440 with 3-2bbl (Dodge was Six-Pack, Plymouth was 6-BBL, wonder what Chrysler would have called it?), but I don't think A/C was available with the Hemi or the 3 deuces, though I've seen it done after the fact by owners of Plymouths and Dodges.