My gut instinct was to bluff, but the more I thought about it, the more I feel like their was pretty top pair heavy, and that they probably just weren't folding. Although right after I checked back, I realized I have quite a bit of hands that wanna bet (I think). Also, we block KT. But maybe a better bluff is something that blocks 7x or QJ. At a quick glance not many 'obvious' bluffs stand out to me, so I'm pretty sure checking back here was a huge punt. In the moment, I just didn't see villain taking this line without top pair very often though. Is that a reasonable assessment?

PokerStars - $0.05 NL FAST (6 max) - Holdem - 6 players
Hand converted by PokerTracker 4

BTN: 155.4 BB
SB: 96 BB
Hero (BB): 272.2 BB
UTG: 126 BB
MP: 277.8 BB
CO: 167.4 BB

SB posts SB 0.4 BB, Hero posts BB 1 BB

Pre Flop: (pot: 1.4 BB) Hero has K 3

fold, fold, fold, fold, SB raises to 2 BB, Hero calls 1 BB

Flop: (4 BB, 2 players) 9 6 T
SB checks, Hero bets 2.8 BB, SB calls 2.8 BB

Turn: (9.6 BB, 2 players) 4
SB checks, Hero bets 7 BB, SB calls 7 BB

River: (23.6 BB, 2 players) 8
SB checks, Hero checks,

You can have so many hands that would be better bluffs I reckon. So, giving up here is fine. Also, blocking KT I don't feel iis that great, as you could easily have a hand which blocks 2 Tx hands, such as QJ, KJ.

I'm fine unblocking Tx here as that's a big part of what we're targeting with this bluff. Although this hand is weird because what hands did V just x/c two big bets with that they wouldn't just lead flop or have x/r with by now? It feels like there's a lot of 98/T8/T7/76 type hands that rivered a straight or 2 pair. Unless they are checking full range on that board and can have overpairs/AT.

if the guy's fish, check everywhere
otherwise ob turn and jam river

Like what? None immediately stand out to me. Also, the more I think about it, the more I think blocking Tx isn't great since that's probably the most likely hand they x/c, x/c, x/f

Is this a flop where OOP wants to check a lot? It's pretty decent for my range. Should they be checking overpairs?

You mean check it all the way down?

So you think the correct play is bet, overbet, overbet jam? I guess it does put a lot of top pair/two pair/overpair type hands in a shite spot

+1 to what Ionutd said, just give up air vs likely fish, against more predictable villain aggressive line is good, if you get raised on flop it's easy fold, and hard to get raised on turn, but it would suck, but it's also why you want to overbet turn