200nl QQ, table breaking, down to 4

Villain is 24/7/2.5 in about 175 hands.

Table has been broken down to 4 people.

I feel like I butchered this... thoughts on every street please.

PokerStars No-Limit Hold'em, $2 BB (4 handed) Poker-Stars Converter Tool from FlopTurnRiver.com (Format: FlopTurnRiver)

saw flop|saw showdown

Hero ($244.30)
Button ($78.45)
SB ($190.60)
BB ($197.80)

Preflop: Hero is UTG with Q, Q.
Hero raises to $8, 2 folds, BB raises to $18, Hero calls $10.

Flop: ($37) 9, 5, 4 (2 players)
BB bets $24, Hero calls $24.

Turn: ($85) 5 (2 players)
BB checks, Hero bets $54, BB raises to $155.8, Hero calls $101.80.

River: ($396.60) 5 (2 players)

Final Pot: $396.60

Should I just 4 bet pre and look to get it in? Anyone raising this flop and looking to get it in? As played, is this turn a fold?

24-7 is unlikely to be good enough to adjust properly to 4-handed.
3-betting range is likely unchanged - QQ+/AKs? Do JJ/TT make it into the range normally - unlikely.

Pre-flop I think is fine, but decide then and there whether you are playing your queens for set value.

Flop, is this one of those way ahead/way behind spots? Even against AcKc you aren't looking that great. As played i like checking turn behind for a cheap showdown, is he calling a bet here with worse? Once he check-raises the question is simple - how often are you good? I think not often enough...

I look forward to criticism of my thought processes here..

preflop is fine really. I'm hard pressed to fold QQ after putting sooo much money in the pot. In the heat of the moment, i might check behind on the turn and call his river bet vs these none-donkey stats. Your line is ok though and its cooler if he showed you KK+.

i probs check back turn but this is also fine.