SPR is really low on the flop, being were 4 ways I would probably check flop. we have 15 cards to improve with (QJT97) I would try to do that. if CO jams and BU jams then we would be getting 23 to 9 (39% equity). I don't think were going to have that enough here. not multiway anyway. If BU is solid reg his range on this flop is going to be very nutted. like A987 with hearts or a set with hearts. hes rarely going to have a worse FD and when he does ( T988 for example) hes going to be ahead and blocking us ( Ten and hearts) . for all those reasons I think checking and eventually folding is the best play here. we only have about 25% vs T988 with hearts alone not including that if CO has 97xx that also blocks us. overall I don't think its a horrible play by any means but I think checking and evaluating is probably going to be a better option.

After SB 3bets preflop, you really don't want CO and BTN coming along with Khh or Ahh. I'm not 100% sure it's not spewy, but I often like to re-raise these high-visibility non-nut-suit hands, especially if the alternative is letting the hand go multiway to the flop (where a hand like this, while not hopeless, performs worse than heads-up... hands like this also play very well in a low SPR situation, which this ended up as for a different reason than a Hero 4bet).

As-played: I don't like this flop line. You're unlikely to have as many outs as you think you do... it can actually get really ugly.

CO & Button—being capped in late position preflop—have a really significant range advantage over you here. They're more likely to have Ah*h (a common flatting hand in position, especially without premium side cards) and they're more likely to have a made straight, which not only has our Q-high beat but takes away at least one of our outs (7).

Multiway with a non-nut flush draw and a gutshot, I check/fold flop as played. We have 3 nut outs assuming non-heart 7s are all live, and we have poor visibility with hearts if they come in. It's just a much lower equity spot than I think you're assuming it is.

Now, if we'd gotten heads-up against SB and they'd checked flop... it's a much better semibluff, though even then I might prefer checking back. I'm not sure.

Edit: does anybody know how to make asterisks actually show up as asterisks and not italicize my text? (I tried to use them as PPT syntax wildcards when discussing higher hearts in my first sentence.)