Villain is 8.5/0/0.3 over 47 hands and is classified as very tight and passive on pokertableratings. He is winning at 3bb/100 over 100000+ hands.

Full Tilt No-Limit Hold'em, $0.02 BB (9 handed) - Full-Tilt Converter Tool from FlopTurnRiver.com

saw flop | saw showdown

Hero (UTG+1) ($2.43)
MP1 ($2.82)
MP2 ($2.94)
MP3 ($1.38)
CO ($1.91)
Villain (Button) ($2)
SB ($1.24)
BB ($1.46)
UTG ($2.77)

Preflop: Hero is UTG+1 with A, A
1 fold, Hero bets $0.08, MP1 calls $0.08, 3 folds, Villain calls $0.08, 2 folds

Flop: ($0.27) 3, 4, K (3 players)
Hero bets $0.18, 1 fold, Villain calls $0.18

Turn: ($0.63) J (2 players)
Hero bets $0.50, Villain raises to $1.52

Preflop he calls on the button, I'd put him on AJ+, KJ+, 22+. I don't exclude AA, KK and QQ given his stats.

I cbet the flop to get value from his kings. He calls. KK,44-33,AKs,KJs+,AKo,KJo+

With the Jd on the turn, I now realize that I have only 50% equity against his range, so maybe I should not have bet.

After his raise, there is reason to think we are crushed. What's your play?

Another case that shows how bad 100bb stacks are for playing overpairs or top pair hands... Maybe I should become a short stacker...