I think 11 is a strong feeler, actually. Remember The Beast Below? He was so angry because of what they had done to the Star Whale that he completely abandoned all logic and reacted in anger and sadness for the Whale. Also the "happy crying" in the most recent Christmas special. I think he chooses to hide the emotions but they are definitely there and I see them as a more controlling force. So my guess for 11 would be ENFP. Though I can see the I as well and he does seem to draw energy from being by himself in certain situations.
Often, the Doctor's type depends on the writer for the particular episode. I've seen 11 being extremely ENTP and ENFP. Also 10 can be very ENTP or ENFP as well.
I like INFP for Donna. I saw a lot of myself in her. She's definitely an S though. But I actually do think she's an introvert, my guess is ISFJ.