NL10 river decision

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NL10 river decision

Blinds: $0.05/$0.10 (6 Players) CO: $12.42
BN: $10.10
SB: $17.16
BB: $10.89
UTG: $12.50 (Hero)
MP: $12.04
BN: 21/14 after 147 hands, no reads.
SB: 29/21. I have seen him check down second pairs multiple times. I feel like he's quite polarized when he bets.
Preflop ($0.15) Hero is UTG with T T
Hero raises to $0.30, 2 folds, BN calls $0.30, SB calls $0.25, BB folds
Flop ($1.00) Q 7 K
SB checks, Hero checks, BN checks
Turn ($1.00) Q 7 K 8
SB bets $0.50, Hero calls $0.50, BN calls $0.50
Given my feel for SB's game, I think that when he bets, he either has hands that have zero showdown value, 56s-JTs, 88. His small bet makes me think that 88 and 78 are unlikely.

I don't like the BN call, I think his range beats mine and I don't want to bluff the river against him. I think his range is something like 45s-78s, 89-JQ, 99-JJ, AJ, AQ.
River ($2.50) Q 7 K 8 8
SB checks, Hero checks, BN bets $1.80, SB folds, Hero calls $1.80
Given my "read" on SB, I feel like I can check behind and win the pot vs him.

When BTN bets, I put him on 78, 88, 9T, JT, 56. I think 88 is a bit unlikely because he'll sometimes raise the turn with 88.

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