The above is my reply based on, how I would have played the hand in real time. However since you gave quite a bit of information, we can also plug the hand into ICMizer and get something very close to the exact NASH solution. I have a subscribtion to the program, but even as a non-subscriber they give you a free calculation per day, so you can also do this yourself, next time you have a similar question.
I gave the remaining 8 players an average stack of 25BB and selected "Sunday Million" as the payout structure. This should be close enough, since Sunday Million is another very large MTT. If Hero min-raise from HJ and face a SB jam with the quoted stack sizes, then Hero calling range is 88+, AQ+. So without a specific read on SB you can not get away from AQs in this situation, and my instinctive reaction was correct.
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