NL5 FR KK on Ace high flop

PokerStars - $0.05 NL - Holdem - 6 players
Hand converted by PokerTracker 4

CO: $4.31 (VPIP: 22.03, PFR: 8.47, 3Bet Preflop: 0.00, Hands: 60)
BTN: $4.86 (VPIP: 7.69, PFR: 7.69, 3Bet Preflop: 22.22, Hands: 27)
SB: $3.59 (VPIP: 55.88, PFR: 44.12, 3Bet Preflop: 33.33, Hands: 35)
BB: $7.13 (VPIP: 31.53, PFR: 18.02, 3Bet Preflop: 7.50, Hands: 114)
Hero (UTG): $7.73
MP: $1.70 (VPIP: 16.21, PFR: 14.62, 3Bet Preflop: 5.56, Hands: 262)

SB posts SB $0.02, BB posts BB $0.05

Pre Flop: (pot: $0.07) Hero has K♠ K♦

Hero raises to $0.14, fold, fold, fold, SB calls $0.12, fold

Flop: ($0.33, 2 players) Q♦ 4♠ A♠
SB checks, Hero checks

Turn: ($0.33, 2 players) K♣
SB checks, Hero bets $0.20, SB calls $0.20

River: ($0.73, 2 players) Q♥
SB checks, Hero bets $0.50, fold

Hi

I still get mixed up sometimes with KK on ace high flops,

Would i be write in thinking if the flops quite wet as in this hand then i should bet?

..or as im I.P is it better to get free card here.

i find if villain checks the flop then i check and villain checks again then he hasnt an Ace, i can bet easier for value..if i bet flop with KK on an Ace high board and villain calls then its harder for me to bet turn for value.?