I gotta get a snapshot of my bike in the sun; I've got the same carbon pieces, but they "pop" less because my whole bike is black.
putting covers on the frame isn't a "workaround", it's a solution. you will NOT burn yourself on the carbon covers if installed as described (to create space between the cover and the frame), and hence the hot frame problem is no more.
making the frame itself cooler is like trying to get the engine cases cool enough so they won't burn you when you touch them. although...I do remember riding my '10 in the winter and it was so freaking cold that at stoplights I'd stick my gloved hands right on the engine. no more of that nonsense with heated grips now!
edit: here's a pic from a different thread of my bike with the carbon bits installed. Not the best, but you get the idea: