This question is coming to this board regularly.
In my case, I had no hesitation. If I was to buy a super car (Viper, Porsche, Ferrari,etc.) it had to be a roadster or convertible.
I know that putting the top may take 4 minutes, but to me it is really worth it on a nice sunny day. I never regretted my choice.
As far as handling and ride quality, both cars have identical chassis and suspension.