If he's doing what I think he's doing his range would look like this: 22+,ATs+,KJs+,QJs,JTs,T9s,98s,87s,76s,65s,54s,43s,32s,AQo+,T9o,98o,87o,76o,65o,54o,43o,32o
His equity with this range on 6 7 8 = 41.5% against my pocket aces. Some analysis (hope I'm doing this right! )
K Q J villain has 33% equity
9 T J villain has 32% equity
8 7 8 villain has 21.5% equity
K Q J villain has 17.5% equity
Q 8 3 villain has 16% equity.
Basically any heart on the turn will improve the equity of his range if he just didn't fold anything to a cbet. On nearly every turn he still has 38% equity or better. If both turn and river came 2 and 3 he still has 40% equity against my AA.
Okay so why wouldn't I be happy about cbetting and just fold when I get raised? because I'll be making more mistakes versus him than he's going to make in the hand and he's not always going to raise, he may just call all day. Example. turn is a 9 and we don't know that he has JJ. We check because we don't like to barrel given that he's been sticky. Now he bets because he feels that his JJ is worthy of betting. We may be folding the best hand. So it's better to barrel. But now we could be firing with the worst hand. It's just a crappy situation so that's why I'm saying that if we shove flop we can potentially realise our equity better and make no mistakes on later streets.
Anyway this is why I essentially folded on the flop but having analysed it a bit more, I'm liking a shove better now and I get it in 60/40 versus what I think of his range.