I don't think that Raphael was an ESE, because sensing types have a poor imagination. they create simple combinations of already known elements, and don't create something new like raphael did. I think that he was an IEI because Ni is associated with artistic and creative abilities. I want to quote Victor Gulenko's description of the state T (Time or Ni) from his new book:
"
in psychological terms, the T-state is experienced as victimization (sacrifice). This state is the most religiously colored, as it is imbued with the desire to be liberated from all earthly, carnal, binding spirits. In the T-state, a person is drawn to the mysterious, otherwordly, transcendental. In it's immorderate manifestation, it leads to hallucinations and the emergence of various mystical visions."
https://en.wikipedia.org/wiki/Transfiguration_(Raphael)
I think it applies very well to Raphaels paintings. It's difficult to be completely sure of his type, since I can barely find any information on his character, but I have been interested in Ni artists all my life, and he strikes me as a very intuitive person whose paintings were rich with symbolism, and who was immersed in his imagination and very idealistic (that's the reason why I mentioned that it's an intuitive guess of mine, but it's a strong guess, that's why I feel confident to make a typing here). The one thing I am extremly sure of is that he was an ethical type.
(I had to edit this message 5 times because the wikipedia link didn't work for some reason. it took 1 minute each time for the edit page to load, this website is ridiculous.)