I think you check back overpairs on river . Kinda hard to have Tx after flop action but possible I guess . Just think you get hero called a lot.

Realize it wasn't the focus of the hand but is this open standard MP 200bb?

It's loose in a tough game. In a soft game, opening it or limping it are both fine.

Standard. 200bb might not be the effective stack size with everyone.

ty, thought i was going crazy

I think its way too black and white to say checking back is very bad. If we want to build a strat where we can have river bluffraise ranges on hearts then we need to check back some hands like this. Like we don't necessarily want to cb 100% of our Ah + Broadwayx hands so if we check this back we can now raise a good balanced range on the river when the turn or river is a heart and villain barrels into us.

Checking back flop also lets us realize more equity if we think villain is going to make us 'correctly' fold A2hh on the turn when he c/r -> turn barrel.

There are better NFD combos for checking back flop. Namely AK AQ AJ A9. However, those are such equity monsters that I'd generally bet all NFDs in a live poker situation (I probably check the Ah9h combo for no other reason than to be fancy). I don't think a c/r + bet turn + board pairing turn happens quite often enough for you to tailor your betting strategy to optimizing that branch of the game tree.

Also, just because it's valuable to have the nuts when you're not supposed to have it (i.e. checking back this flop and hitting a nut flush on the turn or river), that doesn't necessitate slowplaying all nut hands and nut draws some % of the time in all spots. It can easily be (and usually is) max EV to fast play the hand from the start 100% of the time.

I see hands like this get checked back in the few good online pg&c threads I follow. Is that about range construction/balance/protection?

I think they would bet their broadway hearts but check back this one. Not positive but that seems to be the trend.

^online regs will check this back to some frequency depending on the c/r % of villain. People c/r flops MUCH more agressively only hence why this could be a frequency check back. Live games people c/r flop MUCH less agressively, and cbeting is probably a must.

I highly doubt a GTO sim would check this hand back a non-trivial % of the time. Again, there are better NFDs and FDs to check. Your checking back range will be plenty protected from checking back with 7h6h and stuff.

Good point.