No read or stats on Villain.

Check the flop? ship the flop? simply bet the flop as I did? Fold to flop re-raise?

Call the all in turn bet or fold?

Poker Stars $0.25/$0.50 No Limit Hold'em - 8 players
The Official 2+2 Hand Converter Powered By DeucesCracked.com

BB: $53.25
Hero (UTG): $56.00
UTG+1: $84.25
MP1: $48.20
MP2: $98.15
CO: $50.75
BTN: $50.00
SB: $13.50

Pre Flop: ($0.75) Hero is UTG with J J
Hero raises to $2, 4 folds, BTN calls $2, 1 fold, BB calls $1.50

Flop: ($6.25) Q J 4 (3 players)
BB checks, Hero bets $5.50, BTN folds, BB raises to $14, Hero calls $8.50

Turn: ($34.25) 2 (2 players)
BB bets $37.25 all in Hero?

Bet looks OK. Fine line between wanting to charge somebody with a bare Ad to draw to flush vs. pushing out AK/AQ.

I shove over r/r here to to make him call $38 into a $72 pot to draw out to a bare diamond. If he has a made flush or QQ (possible, if he respects your raise from UTG he might've flatted QQ pre), you still have boat outs (but are obv. crushed). It looks like he is setting up pot for a turn shove on flop, so I'm never calling here unless I want to get it all in, in which case, I'm shoving over now. You will get called by better hands and ones that have a lot of equity on you already, like AdQo, so it is a marginal play at best.

Meh.

I never have to answer this question because by this part of the hand I'm screaming "pair the board, pair the board" at my monitor.

Ship flop. So many turn cards are really gross here.

its a tough call. I've seen people do this with a flush, in which case you should get out.

I've also seen this happen with 2 pair. If he had a set he would have bet more pre-flop.

its a tough call... either he has you beat or he doesn't. if you call and win, make a note that he'll shove with 2 pair...

Shove flop, people play fast on flushed boards with all sorts of junk and its hard to flop flushes. Be aware your gonna be flipping against a lot though (AdQx being the best example)

I never fold the flop.

I could find a fold against the turn over-shove... but not against an unknown.

If you're calling the turn, shipping the flop is probably better.

I like shipping the flop best. Obviously a flush is brutal, but we're still like 30% to pair the board. Also, QJ, 444, A10dd, AdQx etc. are calling us and we're in nice shape. Also, if we just call the flop your turn decision gets gross. As played I probably still call the turn against unknown, but the likelihood of running into a bare Ace goes down a lot.

****** GRUNCH
Just ship flop vs pretty much everyone for exactly the reason why you are posting this hand. When turn bricks off your equity drops considerably (against a FD) and you will be faced with a tough choice.

Plus, an unknown will easily ship this range:

Board: Qd Jd 4d
Dead:

equity win tie pots won pots tied
Hand 0: 52.250% 51.01% 01.24% 5555 135.00 { JhJs }
Hand 1: 47.750% 46.51% 01.24% 5065 135.00 { QQ, 44, AdKd, AdTd, AdQc, AdQh, AdQs }

The question I didn't ask myself at the time was, "Would the nut flush raise all in on turn?" I doubt it. The most likely raiser would have pretty much what this player had--
7d5d, (or QQ, I think the flush would be more likely) and was protecting his hand against a bigger flush draw. I called and screamed, "Pair the board! Pair the board," too, but it didn't pair. Sigh....
Thanks for the comments