It is unusual to see eye to eye with someone on a topic like this, but I agree with all your assessments. The only caveat is that I feel the 300F goes in just before the 62 300Hs. I obtained 3 of the 4 many decades ago when they were affordable, otherwise I would not have even 3 of them. The Desoto Adventurers have eluded me, but that is OK. The first car I ever restored was my 1962 300H that I completed in 1978 and following it was my 300C. I obtained my 300F in 1990 from the original owner who called me up one night and since he had a terminal illness, he wanted me to have the car going forward because I did all the maintenance on the F for him when the Chrysler dealers no longer knew how to service them. He pretty much almost gave the car to me out of appreciation and wanting it to have a good home going forward. It still has an original 29K miles on it after all these years, but I can still take it out and drive it today. It is all completely original - even the paint, chrome, etc. and still looks like new. If is the reference car for the Chrysler 300 Club International, Inc. for the F series.
In terms of overall driving pleasure, the 300H excels the others, second is the 300C due to its taught handling but less comfortable ride, and third is the F only because it feels a little too soft and is more of a boulevard cruiser. They are all almost equally fast although the 300F does excel in the midrange performance due to the rams but the other two are not far behind. I believe I like the 300H best in overall driving because it is on a lighter, shorter wheelbase platform than the other two and is the most nimble and refined feeling of the three.