Steve, if you only like the Doctor for the actor who portrays him, doesn't that mean that you would disdain a novel with the character in it? Because the writer is trying to do an imitation of the character, trying to capture the mannerisms and voice ( a good writer, anyway).
A novel can at best give you pieces of what you'd get in a performance-- and your mind tends to fill in the rest with your memory of the actor. With an actor, that actor gives you the whole thing. Parts of it may suggest the original, but parts of it will definitely not!