Out of odds, you need a little bit more of equity to call here, just fold.

I might check the turn but I have to review this type of spot.
I'm not sure what we can make fold here, somthing like a T, 9Ts, 8Ts, JTs, QTs, KTs something like 15 combos (if he is calling with all of these) and there is AQ 12 combos, AT 9 combos, AJ 12 combos, some AKo combos, let's say 3, he might have some 44, so 1 or 2 combos, some TT, 1 or 2, some A9s and A8s, so it might be something like 15 fold/ 45 aprox call, so it's pretty easy for him to continue on this board, if I'm not 3ple barriling I might check[fold/call/raise] depending on the opponent and how much he bets.

Hope it helps!
Gl!

I think I'd start off with a check-call on the flop since the btns range is significantly strenghtened given he called your 3bet. This will work in 2 ways, pot control since you don't want to bloat the pot too early, even with a nut flush draw, AND it will keep in his bluffs.
If villain has a hand like AcTc, on the flop you only have 34% equity, even if he only has an Ace your equity is only 37.7%.
Generally I have learned to give an insane amount of credit to raises in NL10 and lower since the player pool as a whole don't bluff enough and very rarely raises for other than value.

On the Flop I think if BTN is tight then you don't have much FE and it's always nice to have some flushdraws in the check/call range. However I still like the double barrel because you can get a Tx to fold. On the turn you get raised which will not happen often so when it happens the opponent has Ax or better.

But you get a really good price in a really big pot so I would just call and just donk my stack in if I hit. You get correct odds already if I calculated correctly but even if it's barely
-EV call it will be +EV because of implied odds.

hope that helped you =)

Board is pretty neutral so I think betting flop is the best play. OTT you should bet an amount big enough so that you can a raise, since you dont want to fold your equity. As played, I would do as pokerlogical advised you, call turn and donk on flush Rivers.