NL50 RUSH, Villains calling/folding range?

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NL50 RUSH, Villains calling/folding range?

HJ: $138.80
CO: $71.80
BN: $84.60
SB: $102.10 (Hero)
BB: $68.60
UTG: $50.50
Preflop ($0.75) (6 Players)
Hero was dealt, UTG folds, HJ raises to $1.50, CO folds, BN calls $1.50, Hero calls $1.25, BB raises to $7, HJ calls $6, BN calls $6, Hero calls $6
Flop ($30.00) 3 J Q (4 Players)
Hero checks, BB checks, HJ checks, BN checks
Turn ($30.00) 7 (4 Players)
Hero checks, BB bets $12, HJ folds, BN folds, Hero raises to $94.60
This hand took place playing NL50 RUSH. I have no hands on any of the players involved. I have decided to omit my own holdings to allow for better discussion on the hand:

PREFLOP: With a raiser + 2 callers, BB squeezes to $7. At this stage I think his range could be reasonably wide, say TT+/AK/AQ/KQs. Having said that, it is NL50 so it could be as tight as AA/KK/AK. I think it is rare the BB bluff-squeezes at these stakes particularly OOP, but I suppose you could include a small % of bluffs but I think most suited connectors/Axs could easily just complete here with great odds.

FLOP: The Flop is interesting because I was fully expecting a cbet from the BB and when he doesn't and it checks round, I either think he has a missed/vulnerable hand or he has missed his c/r.

TURN: When BB bets relatively small on this turn ($12 into $30) and HJ, BN folds, the action is now on me. BB has about $49 behind.

In my position, what range would you shove for value and as a bluff? Also, what range would you flat and what would you fold? Is there any merit to a small raise, say to $26.50?

Also, what do you think villain's potential holdings are? Is there a lot of Fold Equity if I was to shove here? Had it played out like this on the flop I think I have a lot less FE but given the flop check around, I am now unsure.

I will post results and my own hand if it helps.

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