nut fh turning into difficult spot

[sgepower]

reads:
villain 25/17/2 74 hands

Green Joker Poker Reddersburg 0.50/1, hand converted by the iPoker Converter at Talking-Poker

saw flop | [b]saw showdown

Button ($109.40)</font>
SB SB ($121.65)
BB ($136.30)
UTG Hero ($100)</font>
UTG+1 ($77.40)

Preflop: Hero is UTG with 7 7
Hero raises to 4, 1 fold, Button calls 4, SB calls 3.50, 1 fold.

Flop (13.00) 4 4 7
SB checks, Hero checks, Button bets 12, 1 fold, Hero calls 12.

Turn (37.00) Q
Hero checks, Button checks.

River (37.00) Q
Hero checks, Button bets 37, Hero calls 37

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I hit the jackpot on the flop , so the most important thing is how I can extract the most money out of my opponents .
So i checked behind to slowplay my fh.
Btn realizes that both ´players who acted before him showed weakness in checking , so he makes a bet either to take it down right now or to value bet with a pp or trips.
On the turn i checked again , because i thought if he has trips the money will go in on the turn or on the river , so theres a decent chance that he might make another bluff.

He checked behind , so i put him on a small pocket pair or total air , probably high cards on the flop.
I decided to check , because he won't call with any hand out of his range.

Now i check and he makes a psb presenting the nut fh .
I thought it's very unlikely that he has queen and i called .

What do you think about that hand ?
Would you play it the same way as me ?

[Unknown Soldier]

bet the flop!!! asasdAJFOD!!!!

[MortenTA]

[ QUOTE ]
!!! asasdAJFOD!!!!

[/ QUOTE ]

[PTB]

why are you c/c the flop? If you are going to check at least make it with the intention of c/r, but even that I dont like, as you would define your hand too much
I would lead the flop, lead the turn, and then i guess just call the river, but it should never get to that point

[Jamougha]

bet the flop