I would categorize most of the table as pretty nitty, mostly ABC players. Certainly no maniacs that are prone to hyper aggression, or getting out of line. I believe my table image is leaning towards tight aggressive. However, we just moved to two tables, so there are a lot of players that I don't have reads on yet, and vs versa.
Which makes it even more confusing how you could have the read after the SB checks to you in the BB that the other four or five players in the hand aren't happy with the flop. But I digress...
So you have the stone nuts on a three-flush board and you want to get value for your hand from nitty, ABC players. It is absolutely a bet.
It's very simple. Literally just go through the decision tree:
If you bet in the range of 2-3 BBs, what do you expect them to call with? They'll call always with all sets, always with a straight, often with weak or middling flushes, often with Kc, often with an ace and a big club, sometimes with a big flush or the nuts. What will they raise with? Often with a big flush or the nuts, rarely with weak or middling flushes, rarely with sets and rarely with a made straight.
If you check, what hands do you expect them to bet? A nitty, ABC player will often check his entire range here. You will sometimes get a guy to bet a weak or middling flush to protect. But what if you check raise? He's folding 95% of the time. He will often even check the nut (non straight) flush here with the same thinking displayed elsewhere in this thread so he doesn't "scare" anyone. And what if you raise? Obviously he will get it in. But that's no different than if you simply bet and let him raise or size your bets so that you get all the money in by the river if he elects to flat three streets. So you realize no advantage by check raising when your opponent holds the nut flush.
In summary, if they hold a set, a straight, the Kc, or an ace with a big club, they'll call your bet, but they will check if checked to. If they hold a weak/middling flush, they'll bet fold if you check raise. If they hold a big flush, and you check raise, they will get it in with the nut (non straight) flush, and very occasionally bet fold with a big flush and they will very often raise if you bet or call of their stack by the river if you bet the flop.
By betting, you get value from non-flush hands that will not bet the flop. When you're against a big hand, you give up nothing because the outcome is going to be the same the vast majority of the time: the money will be in the middle by the end of the hand no matter whether you check or bet the flop.