JTs gets more & more draws

CO 17/15 3bet 17% - 109 hands
BU 32/25 3bet 12.5% - 287 hands

I called pre flop with good odds.
Flop just checked my OSD with intention of calling a cbet
Turn best to c/c, c/r or b/c? I decided to try and keep the pot small as its early on and I'm OOP
River I have to lead here, but could I bet more? If he has A surely he's calling anything, maybe even raising.

Poker Stars, $6.37 Buy-in (15/30 blinds) No Limit Hold'em Tournament, 6 Players
Poker Tools Powered By Holdem Manager - The Ultimate Poker Software Suite.

SB: 2,850 (95 bb)
Hero (BB): 1,515 (50.5 bb)
UTG: 1,980 (66 bb)
MP: 2,505 (83.5 bb)
CO: 1,160 (38.7 bb)
BTN: 3,490 (116.3 bb)

Preflop: Hero is BB with T J
2 folds, CO raises to 75, BTN calls 75, SB folds, Hero calls 45

Flop: (240) 8 9 A (3 players)
Hero checks, CO checks, BTN checks

Turn: (240) A (3 players)
Hero checks, CO checks, BTN bets 120, Hero calls 120, CO folds

River: (480) 7 (2 players)
Hero bets 240, BTN calls 240

Results: