middle Set drawy Flop

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middle Set drawy Flop

Blinds: $0.05/$0.10 (6 Players) BN: $26.20
SB: $10.15
BB: $10.81
UTG: $13.20
MP: $14.18 (Hero)
CO: $13.70
Preflop ($0.15) Hero is MP with 9 9
UTG folds, Hero raises to $0.30, CO folds, BN calls $0.30, 2 folds
Flop ($0.75) T 4 9
Hero bets $0.50, BN raises to $1.44, Hero

I'm not sure how I should play this hand on the Flop:
Villain is unknown and I assigned him a flopraising range which should look sth. like this:

Board: Ts9h4h
Equity Win Tie
MP3 76.63% 76.63% 0.00% { 9d9s }
BU 23.37% 23.37% 0.00% { TT-99, 44, ATs, KJs+, QJs, T9s, 87s, KhTh, QhTh, JhTh, ATo, QhJd, QsJd, QsJh, QcJd, QcJh }

With 99 I'm ahead and there are a lot of Turns I don't like to see. However if I 3bet my Callingrainge will be weak. Tho I think that might not be a big of a concern here.Therefore I elected to 3bet. What sizing should I take? 3x which would be around 45bb?

What is a realistic jamming range from Villain?

Is this too wide? { TT-99, 44, T9s, KhQh, KhJh, QhJh, KhTh, QhTh, JhTh, 8h7h }

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