I'm definitely check folding flop. If you want to make moves on these kinds of boards, pick slightly more connected ones usually and make them check raises imo.
Floating is theoretically "fine" but the hand is so hard to maneuver in from OOP, and with this exact holding we don't even really have anything in the way of backdoors - just our two overs - so I'd rather pick holdings that have some chance of improving.
In general picking close to zero
equity bluffs is bad. Especially when we don't give ourselves the chance to win the hand right now either.
As played on the flop, I get the turn play... we kind of feel like we HAVE to do SOMEthing now, right? But is this even that good of a card to do it on? It's a card that a fair bit of villain's bluff range actually DOES connect with, and I think the only
hands we rep are straights, sets, and MAYBE something like Q6s or Q4s. (I don't think we're ever check raising a naked queen on this board for value.)
I assume this will work a decent amount of the time but I think this comes back to the flop decision being really unnecessary, and us just getting tied into taking bad bluff spots. Just because we can take a line that looks strong doesn't mean we have enough value combos that we can bluff that spot with abandon.
Anyway I'm glad it worked out for you, but at least in the future you can pick some hands with a backdoor flush draw on the flop to float with - then we will have some bluffs that actually make sense (AND block our opponent's continuing range on some runouts).