6/0 over 50 hands

Against this nit i don't see how we can ever be ahead. 44 and AK are in his range and his range that beats us increases even more on the turn

PokerStars No-Limit Hold'em, $0.10 BB (9 handed) - Poker-Stars Converter Tool from FlopTurnRiver.com

saw flop

UTG+1 ($14.30)
MP1 ($6.60)
MP2 ($2.10)
MP3 ($9.85)
Hero (CO) ($10)
Button ($10)
SB ($2.45)
BB ($9.75)
UTG ($13.80)

Preflop: Hero is CO with K, Q
1 fold, UTG+1 calls $0.10, 2 folds, MP3 calls $0.10, Hero bets $0.60, Button calls $0.60, 2 folds, UTG+1 calls $0.50, MP3 calls $0.50

Flop: ($2.55) 4, 8, K (4 players)
UTG+1 checks, MP3 checks, Hero bets $1.50, Button calls $1.50, 2 folds

Turn: ($5.55) 8 (2 players)
Hero checks, Button bets $2.50, Hero calls $2.50

River: ($10.55) 3 (2 players)
Hero checks, Button bets $5.40 (All-In), Hero folds

Total pot: $10.55 | Rake: $0.50