50NL: RR'd JJ pf, tough overpair v. overpair situation on the flop

[SmallPotJeff]

Villain just sat down a couple hands ago, no reads so far.

PokerStars No-Limit Hold'em, $0.50 BB (5 handed) Hand History Converter Tool from FlopTurnRiver.com (Format: 2+2 Forums)

MP ($24.10)
Button ($49.80)
SB ($4)
Hero ($61.45)
UTG ($25.45)

Preflop: Hero is BB with J[img]/images/graemlins/heart.gif[/img], J[img]/images/graemlins/club.gif[/img].
<font color="#666666">1 fold</font>, MP calls $0.50, <font color="#CC3333">Button raises to $3</font>, <font color="#666666">1 fold</font>, <font color="#CC3333">Hero raises to $7</font>, MP folds, Button calls $4.

Flop: ($14.75) 3[img]/images/graemlins/heart.gif[/img], 3[img]/images/graemlins/club.gif[/img], 5[img]/images/graemlins/club.gif[/img] <font color="#0000FF">(2 players)</font>
<font color="#CC3333">Hero bets $11</font>, <font color="#CC3333">Button raises to $22</font>, Hero???

My reasoning with the small RR pf was to get him to fold if he was just punishing limpers with garbage, yet get away cheap if he had AA or KK and 4bet big. (My standard RR is pot, but villain doesn't know this) Perhaps this was a mistake.

When he raised the flop, I was pretty certain he had some overpair (or maybe 55). So what's the plan? Am I folding or getting the money in somehow?