I think I made a miss-step here by betting the turn, should really just be a give up situation given my hand and the turn card... when I get called on the flop then this looks like maybe 99-JJ or a weak king and I'm not getting those to fold on the turn, so my question is... when the ace hits the river... do you go for a 3rd barrel and if so, how much?

Player 3(SB) $13.20 - VP:33 PFR:25 AF:2.4 W:23|33 STL:75|100 3B:0|0 CB:80|100 N:-2.97 Hands:55
Me(BB) $12.72
Player 5(UTG) $10.23 - VP:27 PFR:23 AF:1.7 W:14|0 STL:60|73 3B:9| CB:80|50 N:-9.69 Hands:44
Player 6(MP) $8.30 - VP:50 PFR:0 AF:Inf. W:0| STL:0| 3B:0| CB: N:-1.70 Hands:2
Player 1(CO) $10 - VP:13 PFR:9 AF:1.3 W:0| STL:10|92 3B:0|0 CB:50|0 N:-7.54 Hands:56
Player 2(BTN) $20.96 - VP:32 PFR:16 AF:0.9 W:34|70 STL:47|62 3B:0|29 CB:0|71 N:12.41 Hands:117


Pre Flop: Me(BB) with [9c,Jc]
Player 5(UTG) folds,
Player 6(MP) folds,
Player 1(CO) folds,
Player 2(BTN) folds,
Player 3(SB) raises 0.25,
Me(BB) calls 0.20


Flop: (7d,Kc,3s)(2 players)
Pot - 0.60
Player 3(SB) checks,
Me(BB) bets 0.30,
Player 3(SB) calls 0.30


Turn: 4s (2 players)
Pot - 1.20
Player 3(SB) checks,
Me(BB) bets 0.70,
Player 3(SB) calls 0.70


River: Ad (2 players)
Pot - 2.60
Player 3(SB) checks,
Me(BB)?