TPTK CHECK RIVER

You can check back and see. To still have value thin you'd need to be sure you are facing against a huge whale.
Bet bigger OTT by the way.

I would check OTR.

Raise 2/3 OTT and check back river.

Maybe good to tell what kind of villain you are dealing with, but most of the time I would check the turn with the intention to call a river bet.

Cheers,
SDK1987

Definitely check behind river, no reason to bet he never calls with worse. Betting turn is also bot prefferable. What was your reason to bet turn?

Pre and flop ok.
Turn bet bigger or check to keep his bluff range wider, so that you can call a river donk. Basically a pot control move.
I usually prefer to bet turn, between 80% and PSB.
Check-back river. No need to open the betting round on that board, where you have showdown value, there's basically nothing worse he his calling with. Flush has hit, a good player won't donk here because you have some hands like JT, QJ and sets that are probably bet/folding this river.
But again, this flats from SB are very weird and leave their ranges a bit capped. Even more, check-calling twice.

I don't like the check back OTT and river bluff catch option. We are likely ahead, but we don't have a great hand and I can't see a reason to give him a free river, and BC OTR will not earn us ton of money anyway. If checked a value bet will be difficult OTR and he will fold a worse hand more often. I would bet bigger this turn and check the river.