Cake Poker No-Limit Hold'em, $0.04 BB (6 handed) - Cake Poker Converter Tool from FlopTurnRiver.com

SB ($3.70)
BB ($5.92)
UTG ($4.14)
Hero (MP) ($4.73)
CO ($1.81)
Button ($4.04)

Preflop: Hero is MP with K, K
1 fold, Hero bets $0.16, 1 fold, Button calls $0.16, 1 fold, BB calls $0.12

Flop: ($0.50) Q, 7, K (3 players)
BB checks, Hero bets $0.34, 1 fold, BB calls $0.34

Turn: ($1.18) 10 (2 players)
BB checks, Hero bets $0.79, BB calls $0.79

River: ($2.76) 2 (2 players)
BB checks,Hero bets ??

villian is 29/17 3b 1.4% over 251 hands

should i bet like $1? and pray he looks me up i dont think he ever has a big hand here and therefore wont call a half-pot bet so whats our sizing?