Would u be checking this flop agaisnt this player

[Leo Bello]

The playber in the BB has 72.34/8.51/0/ (50 WTSD/41 WSDW$)and is the one I thought would pay me off. He has been paying many hands and doesn´t seem to has a read on anyone, because he doesn´t vary much his play. He likes to raise the flop and normally calls down to showdown.
Party Poker 5/10 Hold'em (6 max, 5 handed) FTR converter on zerodivide.cx

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

Flop: (6.40 SB) K[img]/images/graemlins/club.gif[/img], J[img]/images/graemlins/diamond.gif[/img], 2[img]/images/graemlins/heart.gif[/img] <font color="#0000FF">(3 players)</font>
BB checks, <font color="#CC3333">Hero bets</font>, Button folds, BB folds.

Final Pot: 3.70 BB

Results in white below: <font color="#FFFFFF">
No showdown. Hero wins 3.70 BB. </font>

Given the read, how often would check this flop. In case u checked, go for a CR on turn, or lead out?