QQ 3 bet w/3 very loose callers

[allabout]

UTG is 28/17 over only 46hands, SB is 25/6 over 180 hands and MP2 is 36/25 over 315 hands.
My question is two fold, first how did I play the hands as is? But more importantly, how should I be reading very loose players like this and how can I get more value out of this hand? After they folded they all asked what I had and one of them was like "I know for a fact he had AA" and one said he folded a J. Idk I just felt after the hand like I missed some big action, but at the time I couldn't have thought they wouldn't have KK or AA given the action, right?

PokerStars No-Limit Hold'em, $1.00 BB (9 handed) Poker-Stars Converter Tool from FlopTurnRiver.com (Format: FlopTurnRiver)

Button ($58.50)
SB ($112.65)
BB ($20)
UTG ($70.20)
UTG+1 ($145.75)
MP1 ($57.25)
MP2 ($231.50)
Hero ($152.30)
CO ($100)

Preflop: Hero is MP3 with Q, Q.
UTG raises to $3, 2 folds, MP2 calls $3, Hero raises to $11, 2 folds, SB calls $10.50, 1 fold, UTG calls $8, MP2 calls $8.

Flop: ($45) 2, J, 9 (4 players)
SB checks, UTG checks, MP2 checks, Hero bets $35, SB folds, UTG folds, MP2 folds.

Final Pot: $45

[Rondavu]

Plenty of fish in the sea. Sometimes you get action, sometimes you don't. You played this hand the best you could.

[Da GOAT]

apart from raising a little more pre its fine.

[Jimmy Mac]

Nice table selection!

[pokerfan]

Since i moved down to this level, i havent seen such a fishy table for a while. oh, i 'd make $15 to go preflop. :P