turn hand into bluff on river? turn vbet/protectbet too thin?

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turn hand into bluff on river? turn vbet/protectbet too thin?

BN: $10.09 (Hero)
SB: $64.34
BB: $10.29
UTG: $11.54
HJ: $11.09
CO: $11.36
Preflop ($0.15) (6 Players)
Hero was dealt J 7 J 3
UTG folds, HJ raises to $0.30, CO folds, Hero calls $0.30, SB calls $0.25, BB folds
Flop ($1.00) T 4 2 (3 Players)
SB checks, HJ checks, Hero bets $0.75, SB calls $0.75, HJ folds
Turn ($2.50) 5 (2 Players)
SB checks, Hero bets $1.90, SB calls $1.90
I think its really close between x and bet, but I feel that I am just ahead enough of his range to bet here:
His range: Tens w sidecards, nutFDs(with 1pair max), overpairs.
River ($6.30) T (2 Players)
SB checks, Hero bets $3.60, SB calls $3.60
FDs are busted-so betting or checking behind does not make a difference

overpairs will fold to a bet, if I check I lose
tens will checkcall, I lose

So it all comes down to the ratio of Tens vs Overpairs in his Range, to determine wether I should turn my hand into a bluff on the river.

I decided that 2 tens on the board make overpairs more likely than tens, so I bet
Final Pot
Hero has J 7 J 3 SB has 9 8 T 8 SB wins $12.93

please comment on my thought process

THank you very much


Michael

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