Re: AA in big blind
This sounds like a crazy loose game (4 players for 20bb preflop??!); given that level of insanity, I disagree that opponent is only going to stick around with a set.
(Your preflop play is fine; you can't smooth call with aces with three other players, and I would expect $100 to get heads-up, possibly a splendid result like a reraise...)
All-in on the flop seems OK to me, since that's not too big an overbet. Your line is fine too, but I would bite the bullet and get all-in on the turn. If you had $1000 at the start of the hand, then I would start thinking more about folding postflop.)
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