TT on A high

iPoker - $0.50 NL FAST (6 max) - Holdem - 6 players
Hand converted by PokerTracker 4

BB: 53.98 BB (VPIP: 45.95, PFR: 35.62, 3Bet Preflop: 18.64, Hands: 157)
Hero (UTG): 100 BB
MP: 100 BB (VPIP: 23.43, PFR: 20.02, 3Bet Preflop: 10.17, Hands: 2,356)
CO: 99.5 BB (VPIP: 25.15, PFR: 21.63, 3Bet Preflop: 7.13, Hands: 1,048)
BTN: 118.26 BB (VPIP: 25.75, PFR: 22.50, 3Bet Preflop: 9.22, Hands: 1,575)
SB: 100 BB (VPIP: 19.16, PFR: 16.77, 3Bet Preflop: 9.09, Hands: 173)

SB posts SB 0.5 BB, BB posts BB 1 BB

Pre Flop: (pot: 1.5 BB) Hero has T♠ T♦

Hero raises to 3 BB, fold, fold, fold, fold, BB calls 2 BB

Flop: (6.5 BB, 2 players) 2♦ 7♦ 8♠
BB checks, Hero bets 4.54 BB, BB calls 4.54 BB

Turn: (15.58 BB, 2 players) A♥
BB checks, Hero checks

River: (15.58 BB, 2 players) J♠
BB bets 8 BB, Hero calls 8 BB

BB shows 4♣ 4♥ (One Pair, Fours) (Pre 20%, Flop 9%, Turn 5%)
Hero shows T♠ T♦ (One Pair, Tens) (Pre 80%, Flop 91%, Turn 95%)
Hero wins 30.02 BB

Is it ok check turn, or bet for free showdown? I think it is better to bet because there are many draws and he doesnt have Ax that often. Is call river ok? 9Ts completes, but he could still bet other draws, or turn into bluff 7x,8x, low pairs.