100 blinds deep, playing the Button and blinds game, I would advocate a 3 bet squeeze preflop. You can easily fold this hand to a 4 bet so I like it to balance your 3 betting range, especially in the button/blinds dynamic.
As the hand played, betting the turn is, I think, the obvious thing to do here. You would check an A or 33 on this flop, so a small bet on the turn (1/3 to 1/2 pot) with semi bluffs is good to have in your range. When you make your hand, bet and then get raised, I think that it is a clear fold. 99.9% of the time you get raised on the river, they have it. The way that this hand played, I would expect the Button to have
, flopped the nuts, and slow played it. I like the bet size, because it makes flushes call and only boats and quads can raise, so you should be betting pot, then folding or bet smaller if you are not going to fold to a raise