What an interesting question. Unfortunately I dont have an interesting answer.
I have to agree with what others have said, that such a question is BEYOND what God has revealed to us. Wondering what went through the mind of Christ shows on one hand good intentions to understand Christ better, but on the other hand it is walking a VERY fine line, perhaps even crossing it which is problematic.
Remember what we know of God, through His prohets, through the Scriptures, and through the Church is only because He revealed stuff to us. If we know about the Trinity it's because God told us, in one of the above (or all the above) ways.
We as human beings don't figure stuff out. The Church doesn't even figure out new stuff. This question, I think is an interesting one. It can lead to some interesting ideas, and speculations....but that is all they ever would be, speculations. Speculation can be fun, enlihgtening etc...but it should never become more than that.
And so I agree that this question is beyond our ability to answer, simply because God never intended for us to know the answer to it. It's a Mystery, like the Eucharist, trying to figure it out will just drive us crazy because we dont have the ability to understand it.
However it is a great question that I've never thought of before. I would like to hear what Bishop Kallistos Ware would have to say on the subject though becuase I think he is really good at this type of philosophical reasoning and giving answers us non-philosophers can understand.
(however I think delving to much into philosophy can be dangerous because like someone else mentioned that's how heresies get started. Trying to understand what simply cannot be understood) Besides, I dont reckon Bishop Ware posts here ...:-)