How badly did I play this AA?

[Tokyo!!]

For those advocating the fold to the flop 3-bet, is this standard on a fairly dry board with an overpair? My intentions on this hand was that a push might let him off anything I'm currently beating, such as AJ, KJ, QJ etc. I was planning on calling/pushing all-in on any non-J turn, but I just could not see anything sensible I was beating after the gross turn card. The only thing that I might be beating that mayyyyyyyybe would push this hard is TT, and I'd say with this much action a standard seemingly not too crazy low limit player generally does not have TT. I was thinking if I called the turn i would be beat nearly 100% of the time here.