Bighunter has AAxx an absurd amount of the time here. Not sure I like preflop (calling a single raise would be reasonable, but the fact it's been raised in front of me twice is bothersome), but it's fine as played from there.
If villain has AA and a club draw I'd imagine he's repopping the flop, so it wouldn't surprise me if he turned up an AA hand with no protection/draws here.
But as played, I suppose my main question is whether it's better with this sort of hand (i.e. top set, but possible flush / straight draws around) to pot it on the flop, or wait till the turn, if no scare cards come up? This situation was a bit unusual because the pot was so big already on the flop.
As usual, 'it depends'. In this example the pot is large, you have a smallish stack left in front and nobody has shown any aggression postflop. You need to bet out as all kinds of weak drawing hands may well call you, and the pf reraiser has almost turned his cards up and said 'I have AAxx', which he probably isn't good enough to fold. Get value from your hand now, before a scare card (either for you or your opponenets) falls.
If the situation was different, you could be justified in calling someone who's betting into you while you gold this sort of hand, then repopping a safe turn. You need position and optimally a heads up pot to do this though, as allowing a 'free' card to so many hands is borderline suicidal.