2/4 NL JJ vs Decent/Tricky player

[Python49]

Hero has $408 and villain has $369

Reads on villain are that he is a thinking player although he seems to make some bad bluffs occasionally and some occasionally bad calls based on what i've seen. He 3 bets a pretty decent range... probably 88+, some suited connectors occasionally, KQ/AJ type hands too.

He is most certainly capable of making squeezes and usually always will continuation bet if he was the pre flop aggressor... also is capable of making a double barrel bluff. Have caught him shoving all in post flop before with just overs in RR pots.

He knows that I am a thinking player as well and probably views me as tight but capable of making plays based on reads.

Hero is dealt J [img]/images/graemlins/club.gif[/img]J [img]/images/graemlins/heart.gif[/img] on the button and raises to $14 when folded to. SB Calls and Villain makes it $58 total. Hero calls and SB folds.

Flop ($130): 10 [img]/images/graemlins/spade.gif[/img] 10 [img]/images/graemlins/diamond.gif[/img] K [img]/images/graemlins/spade.gif[/img]

Villain bets out $110 on flop, Hero has $350.

What's the plan here and why?