Example why betting an A high flop with KK is often wrong

Opp's stats up to this point were like 30/0 or thereabouts. IMO this is a good example of where I found out "where I was at" far more cheaply by check/calling rather than betting on any street. Thoughts?

PokerStars No-Limit Hold'em, $25+$2 Tournament, 15/30 Blinds (9 handed) - Poker-Stars Converter Tool from FlopTurnRiver.com

CO (t1480)
Button (t1215)
SB (t1760)
BB (t1730)
UTG (t1505)
UTG+1 (t1600)
MP1 (t1410)
Hero (MP2) (t1330)
MP3 (t1470)

Hero's M: 29.56

Preflop: Hero is MP2 with K, K
3 folds, Hero raises to t120, 1 fold, CO calls t120, 3 folds

Flop: (t285) A, J, 5 (2 players)
Hero checks, CO bets t90, Hero calls t90

Turn: (t465) 6 (2 players)
Hero checks, CO bets t120, Hero calls t120

River: (t705) 6 (2 players)
Hero checks, CO checks

This is a somewhat common line for me OOP.

If they bet hard pot+ i let it go, its still early and your not out many chips.

But yea, they take me to value town with small bets like this.

When he makes small bets like this I rarely but him on an Ace. I am looking to get 3 (small) bets out of him somehow.

There are pros and cons for playing the hand the way you did
pros:
1. You keep the pot relatively small if you are behind
2. You extract chips that you would probably not get if you are ahead

cons:
1. You let your opponent catch up if you are ahead, villian could easily bet hands like KJ, QJ and you give him two chances to improve to beat you
2. You expose yourself to bluffing much more, when you raise preflop and then check-call flop and turn and check river it is very likely you do not have an A, so a decent size bet on the river will get you to fold