Villain is 53/0 after about 15 hands.

Do I value bet or push?

Paradise Poker No-Limit Hold'em, $0.05 BB (9 handed) Hand History Converter Tool from FlopTurnRiver.com (Format: FlopTurnRiver)

BB ($15.60)
UTG ($10.02)
UTG+1 ($3.00)
MP1 ($8.51)
MP2 ($6.30)
Hero ($10.00)
CO ($12.70)
Button ($9.45)
SB ($21.22)

Preflop: Hero is MP3 with A, K. SB posts a blind of $0.05.
1 fold, UTG+1? calls $0.10, 2 folds, Hero raises to $0.6, 3 folds, BB calls $0.50, UTG+1? folds.

Flop: ($1.35) 9, K, T (2 players)
BB checks, Hero bets $1, BB calls $1.

Turn: ($3.35) 7 (2 players)
BB checks, Hero bets $2.25, BB calls $2.25.

River: ($7.85) 2 (2 players)
BB checks, Hero...