[Closed] NL50 SH KK facing river shove on xxxxA

Hand converted with online PokerStrategy.com hand converter:

Play hand

$0.25/$0.5 No-Limit Hold'em (6 handed)

Known players:
[tg]BB$19.50:///////;MP2 (Hero)$20.00:///////;MP3$22.50:///////;CO$51.20:///////;BU$21.60:///////;SB$63.20:///////;[/tg]

Preflop: Hero is MP2 with K:s, K:d.
Hero raises to $1.50, 4 folds, BB calls $1.00.

Flop: ($3.25) 6:h, 2:d, 8:s (2 players)
BB checks, Hero bets $2.00, BB calls $2.00.

Turn: ($7.25) 4:h (2 players)
BB checks, Hero bets $5.00, BB calls $5.00.

River: ($17.25) A:c (2 players)
BB bets $11.00(All-In), Hero calls $11.00.

Final Pot: $39.25.
Results follow:

Anyone think we can or should find a fold on the river? Villain has to have the worse hand 28% of the time for this to be a breakeven call. Somehow I don't think he's bluffing this often but on the other hand I can imagine 8x playing this way and hoping to get me off an overpair other than AA ( but maybe I'm being ambitious).

thanks