The problem with laying out the "metaphor of the mind game" is twofold:
First, the mind game is not working as planned. The adults already knew what to expect from student interaction with the mind game -- they knew what various responses to the game meant about the child. But with Ender, the game moves into new territory. You'll notice that they are worried about where some of the images come from. In later books Ender discovers that the hive queen was manipulating the game (creating Jane as a byproduct) but which elements come from the game itself and which from the hive queen? And what was the hive queen's objective? At times, it seems the idea is to drive Ender crazy or terrify him and thereby cripple him, make him ineffective as a commander; at other times, the idea seems to be to communicate with him, to make him think differently about the hive queen. Which images arise from the game and which from the hive-queen-as-saboteur and which from hive-queen-as-peacemaker? You'd have to sort that out yourself.
Second, I did not want to create a "plotted" mind game because I would inevitably use "known" symbols and fall into cliche. So ... as best I could, I free-associated my way through, from the giant's drink on. I had no plan. When I caught myself having a plan, I subverted it. I did not decide what was causing the game to do what it did until after ... I did not know that the hive queen had anything to do with it until I got Ender to the colony planet and was trying to solve the problem of how they would leave him a message that nobody else would get. So even though I found explanations after the fact, I was simply drawing on images as they came up and felt right to me for that moment in the story ... So I can't plot out the metaphors because not only do I not have the faintest idea, I don't want there to be a plot. I want them to be received viscerally as I received them.
The only thing that matters is that both the game and the hive queens were taking images out of Ender's unconscious, and the only way for me to do that effectively was to take situational images out of my own unconscious -- that is, I wasn't free-associating "as Orson Card" but rather was responding to images that felt right (to me) "for Ender." A weird psychological process, but one that fiction writers go through all the time as we imagine what characters would do and say.