200NL: QQ with flush FLOP

[jimmy44]

$1/$2 No Limit Holdem
10 players
Converted at weaktight.com

Stacks:
UTG ($108.90)
UTG+1 ($232.90)
Hero ($215.30)
MP1 ($200.25)
MP2 ($204.90)
MP3 ($247.65)
CO ($44.00)
BTN ($263.85)
SB ($192.00)
BB ($40.00)

Pre-flop: ($3, 10 players) Hero is UTG+2
2 folds, Hero raises to $8, 1 fold, MP2 calls $8, 5 folds

Flop: ($19, 2 players)
Hero bets $14, MP2 calls $14

Turn: ($47, 2 players)
Hero ???

villain was running like 16/12/3 over 130 hands (flop AF = 2; turn AF = inf, so he likes to float).
I believe here we should c/c turn and c/f or c/c river depending on river card and villain's bet size.
My question is: if we go for c/c turn and villain bet (for example) 3/4 pot on turn, wouldn't we be better of by b/f here that amount?
The reason I don't like too much the c/c turn and c/f or c/c river is that an aggro villain most often bet big/push river after we c/c turn and we'll fold most of the time. Am I way off here?

I don't think villain had a set as he would most often raise FLOP on that board. So his range is more like flush/FD/SD and something like 89s/T9s, JJ-TT or maybe A9s.

[Muzzard]

plz bet/fold turn, makes me if you c/c

[jimmy44]

plz bet/fold turn, makes me if you c/c

Actually, without the Q of hearts I would clearly go b/f.
But with the Q of hearts and the fact that villain seems to like to float I believe there is some value in c/c.
If most of his range is the one I mentioned then, yes indeed we need to b/f. But I think this range is too narrow ...

Edit: Won't we be turning our hand into a bluff by 2barriling against this villain?