River Decision - How wide to bet?

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River Decision - How wide to bet?

Blinds: $0.05/$0.10 (6 Players) BN: $16.83
SB: $48.20
BB: $9.75
UTG: $10.22
MP: $10.30 (Hero)
CO: $11.95
This is my first HH post so woo yeah and... be gentle ^>^

Unknown player in the SB, though I would expect them to flat all of their strong value hands pre-flop with the passive player limping UTG
Preflop ($0.15) Hero is MP with K K
UTG calls $0.10, Hero raises to $0.40, 2 folds, SB calls $0.35, BB folds, UTG calls $0.30
Flop ($1.30) 3 J 9
SB checks, UTG checks, Hero bets $0.80, SB calls $0.80, UTG folds
I don't see the SB raising much super-combos or sets too too often here with the passive player left to act
Turn ($2.90) 3 J 9 4
SB checks, Hero bets $1.75, SB calls $1.75
I don't like the size of either the Flop or turn - especially since I will want to check back a lot of rivers and best to get dorra now, especially.
River ($6.40) 3 J 9 4 K
SB checks, Hero bets $7.35 and is all in, SB calls $7.35
When the river hits and the FD missed I was a bit torn here. It's a scary to just call with a set for two streets in SB's shoes on such a wet board, and we block many of the KJ,K9 combos also we might get a call from. Would I call AA in his shoes? not sure really

Looking back at the hand I think I would shove QTs, I think I would have "about" 50% of QJo (for sake of argument), and KK for (13) value, leaving 6 bluffs (89dd, 76cc, 87cc, JTdd, T9dd, and TcTd).

And bet a smaller size (say 30%) 33, JJ, 99, (lets say 2/3 of KJ) (15) with 4 bluffs: (Q9dd, ATdd, A6dd, A5dd)

I chose the JTdd, T9dd and TcTd I think because our Straight blocker Tx hands are our backdoor ones which will block fewer of villains FD floats that miss

I'm not sure which hands would would be better as the smaller bet sizing bluff.

This is really rambly and I'm not sure what I'm asking.

Oh there's another text box here. better write somethign init

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