Have not posted for a while but had such a long table discussion about this hand that I want this group's take. Cash game at PARX 1-2 NL. Just sat down with $300 at table had have played maybe 3 hands over first ten minutes. Have no meaningful read on other players.

Hero has 77 in middle position and opens for $10. Two callers including the button (Villain) who has a stack of ~600 in front of him and Big blind.

Flop is 782

BB bets $15
Hero calls $15

First decision point: call or raise here with flopped set on suited board? I thought about a raise but probably not getting calls from worse unless the other guy has the Ace of Spades and I want to keep my hand strength disguised so that if board pairs I can get max value from someone who has the flush. Bad?

Button (villain) raises to $45
BB calls (another $30)
Hero calls (another $30)

Second decision point: I see no value in raising here -- the pot is already growing nicely and nothing short of a shove is going to get either of these guys off a big draw if that's what they are on.

Turn is J Pot =$150

BB checks
Hero checks

Third decision point: The Jack on the turn is basically a blank. my plan is to check-raise if the original raiser fires another bet. I put him on a big spade and perhaps top pair or an over pair to the board with a spade, so something like A8 or TT If he fires, I want to push him off the flush draw but get some value, and if he calls on the draw, I'm happy. He might have a small flush, like 3s-5s and be protecting his baby flush against a 4th spade hitting the board, but he might even fold that to a big re-raise. If he checks back and we see a free river, that's OK also.

Villain bets $50
Hero raises to $150 (pot now $350, with Hero having ~$110 behind)

Fourth decision point: given my stack-to-pot ratio, I'm not really leaving myself another bet if he calls, and I'm committed to calling if he pushes, so I probably should have just shoved here, but I wanted to induce a call if he was on a draw on the theory that I could get away from it if the river were a spade that did not pair the board. I think in hindsight shove is better here, but want other views. Other option is to just flat the $50, keep the pot smaller, and see what happens on the river.

Villain goes all-in (has Hero Covered)
Hero calls for ~$115

This is not really a decision.

Thoughts on better way to play this one?

You hit a set on a flushy drawing board in a 3 way pot, we could have a str8 draw and flush draw to beat us we may even be behind on the flop. We can reraise and the nut flush draw is going to shove, the small flush draw and made flush draw are calling with the str8 draw folding! We are 76% to win I am calling the all in (if he has the flush you still have outs), the Jd changes nothing so still a big fav so here we are firing a 70% pot size bet and if he comes over the top we are folding. In cash never say I am pot committed you can fold if your behind it is not your stack you are managing but your bank roll as a whole! If they call and a spade does not hit I am jamming the river. Of course he could turn over a weird hand that is the 25% you loose with!

I like your flop play.
Villain's turn bet seems rather strong and I do not see a point in raising (against what? I think if he has Asx or sth along those lines he is just checking against two opponents and trying to hit on the river instead of betting small with no fold equity against two). So I am calling and making a decision on the river.
As played you are correct in saying that your turn raise size doesn't make sense, only viable raise size is shoving.

The play on the flop is ok. Utilize a little pot control on a very iffy board against two opponents. Raising anything on the turn other than all-in doesn't make sense to me based on the amount of money in the pot. The board is too draw heavy as is and could include a made hand already. The Jd on the turn could provide more outs if villain is drawing or even give him a straight with a 9 or 10 of spades.

I would still prefer to call the turn bet in this situation and re-evaluate the river. Both hero and villain have a range of hands that can conceivable fall in line with current action. If he did flop a flush and the board pairs, I think there's a good chance you get paid off. I think he makes another stab at the river regardless of what card peels. Without having a solid read, I would play it careful and control the pot.

Not sure I like the 5x open pre.

I'm raising flop all day.

Turn is not a blank. The most obvious SDs now got there.

Don't like the turn sizing either, why leave so little behind?

I just had a similar situation at the casino last night. I raise pre-flop with JJ and get called by a tight player. Flop come AJx, all spades. I make a 16x BB bet, and the tight player shoves (a huge overbet, considering how much was in the pot). I figured he had the flush, and folded.