KK whats my river play?

villian 27/7/0.65. was playing tight passive. its small pot marginal spots like this where i think i have leaks. anyway after some thought i think maybe betting turn is a better play as it would give more info to his strength and also gain value from med. pp's in this spot. on the river though what are passive players betting here that i beat. do i have value in calling? comments on my play from any street are appreciated

PokerStars No-Limit Hold'em, $0.10 BB (6 handed) - Poker-Stars Converter Tool from FlopTurnRiver.com

Button ($13.10)
SB ($3.35)
BB ($7.50)
UTG ($9.85)
Hero (MP) ($9.40)
CO ($11.95)

Preflop: Hero is MP with K, K
1 fold, Hero raises to $0.40, 2 folds, SB calls $0.35, 1 fold

Flop: ($0.90) 9, A, A (2 players)
SB checks, Hero bets $0.50, SB calls $0.50

Turn: ($1.90) J (2 players)
SB checks, Hero checks

River: ($1.90) Q (2 players)
SB bets $0.90

Total pot: $1.90

i'd find a fold here.

his flop call means he has a 9-x (possibly), ace-x (most likely) and maybe even JJ QQ. Either way, JJ and QQ got there and you're be beat. the only thing i can see you beating is a bluff or someone who for whatever reason decides to think their 9's are good

Villain never has Jx or Qx here that we beat. Easy, easy, easy fold.

insta muck!!!!