A fine morning to you all,

Many situations require that we choose a line that loses us the least when we're behind and gains the most when we're ahead.  I imagine losing less is usually more important than gaining more, but I know we have to do both.

This hand comes from a smaller 1$ turbo rebuy MTT, shortly after the addon phase.  The villain is roger2222, who I haven't seen before and only have n=38, playing 34/18/25.0.  Limping 27, no Cbet stat, fold to Cbet 100%, steal 14, fold to steal 100%, resteal 0%. I still need to put donk bet and fold to donk bet in my HUD.

Merge Network $100 Gtd – [+R, Turbo] No Limit Hold'em Tournament – t400.00/t800.00 Blinds + t80.00 – 7 players – View hand 2379945
TournamentPokerEdge.com Hand History Converter

roger2222 (CO): BB = 12.5, t10026
SIRSmokalot42029420 (BTN): BB = 13.1, t10445
avalon333 (SB): BB = 10.4, t8345
Hero (BB): BB = 14.5, t11618
Crazy4poker333 (UTG): BB = 8.3, t6600
zubs1aaa (UTG+1): BB = 10.4, t8322
BULLDOG65 (MP): BB = 6.8, t5470

Pre Flop: (t1760) Hero is BB with 6 J
3 folds, roger2222 calls t800, 2 folds, action on Hero

Villain limps a lot, but also 3bets a lot.  I put him on a wide range that includes weak and strong hands.

Hero checks

Flop: (t2560) J 4 3 (2 players)

Action on Hero.

This is my main point of question.  There are literally 4 lines that I can imagine being good: leading out and calling a raise /shove, leading out and folding to a raise/shove, check/calling and check/raising.  I can also check/fold to a strong bet, but that's not likely.

He likes to 3bet a lot, so if I lead out he may try to take the pot away, not believing I'll call.  Maybe I should just lead and call?

He limped and can easily have either a better jack or even be trapping, so I can see leading out being a good way to gain information but folding to a shove to avoid this situation.

I can check to get him to bluff.  I can do this by check/raising to just take down whatever he decides to bluff with on the flop because I don't want to see overcards on the turn.  Or I can check and call to evaluate on the turn, which picks off some bluffs but keeps the pot small, perhaps allowing me to get away from danger should it arise.

Hero checks, roger2222 bets t1600.00

So he's taking a stab.  What can this bet mean?  It can easily be a small bluff as I have not shown strength.  It can also easily be a value bet.  He could simply have a better jack than me. His range at this point, considering that he seems to limp a lot, is all pocket pairs, all suited aces, A7o+ andl most broadway hands.  Do I think he's trapping with AA or KK?  Probably not.

Hero raises to t10738 all in

Am I both risking too much when I'm behind and gaining too little when I'm ahead with this move?  Perhaps I should have led out?  That way I can either extract value from hands with which he might call, and if he 3bets I can choose to call his big 3bet bluffs or lay down a mediocre hand if I think his 3bet means real strength.

The truth is I am trying to think this through and cannot figure out how to play this hand best.

Thanks in advance.