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Conceptually I look at 106 on an 864 board almost the same way as if I had AT on an T64 board. Obviously those situations are not the same but I would play them the same in that situation.

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On the T64 board I like the checkraise even more because I'm fine with checkraising the whole field for value. If I knew PFR would raise with overs then I would bet. But in that spot your hand has a much higher equity IMO and your decision will be simpler when the action returns to you on the flop.

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I agree with you that your equity is much higher with AT on the T64 flop, but in both situations there is a good chance you have the best hand but you still could be losing to an overpair. I know it is obvious that the probability that you have the best hand with AT on the T64 board is much higher than the T6 on the 864 board, but I would play both the same in this situation against an unknown PFR.
I dont like the Idea of checkraising the field with AT on a T64 board, this is not the kind of hand I like to trap the field with, so I would bet out the flop and hope the raiser raises with overcards. Like I said before though, I really see nothing wrong with checking with T6 on the 864 board, your reasons for checking and your reasons for betting seem very sound to me, and if god came down and proved it would be better to check then bet I wouldnt be shocked. Just telling you why I would bet. If the flop was J64 im checking for the same reasons you are, or even if the flop is 964 I would also check becuz so many common limping hands have a nine in it thus lowering the probabilty I flopped the best hand. In those situations I would rather check and see what happens. On the 8 high flop I would rather bet, since the probability I have the best hand is decent enough for me to bet here.