NL10: set vs turned straight

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NL10: set vs turned straight

Blinds: $0.05/$0.10 (5 Players) BB: $10.93 (Hero)
UTG: $10.00
CO: $6.69
BN: $11.58
SB: $10.00
Villain: 25/19 240Hands RFI BTN 32%
Preflop ($0.15) Hero is BB with 8 8
2 folds, BN raises to $0.30, SB folds, Hero calls $0.20
Flop ($0.65) 7 6 8
Hero checks, BN bets $0.45, Hero raises to $2.00, BN calls $1.55
Turn ($4.65) 7 6 8 9
Hero bets $8.63 and is all in, BN calls $8.63
I checked this in Poker Ranger, and Villain has here in 52,46% of the Time a straight, in 61% of the time a TP with A9o-J9o,A9s-J9s, and an overpair AA-JJ 30,77% of the time. and sets 4,9% of the time.

How should i play vs this Range. I have over 50% Equity here. But when i shove here, he is going to call me here tighter. Bet/fold is meh, and c/c Turn, c/f River sucks also!
Final Pot BB lost and shows three of a kind, Eights.
BN wins and shows a straight, Ten high.
BN wins $20.82
Rake is $1.09

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