middle set 200bb deep, line check?

ok, this one is all about reads. Note that it's a deep table, meaning there's a 200bb deep max buy-in - and these end up 400bb deep often enough...

Villain is a known fish donor something like 40-13, seemingly unable to fold TPTK and probably too stupid to bet out with a monster on the flop - but could have QQ, I'm not folding here - even against a good player I'd need a very strong read.

Button is 18-10 but crazy aggressive (55% attempt to steal, super high flop bet/re-raise stats especially against perceived weakness). I'm running 15-12 this session but they haven't noticed.

Normally I re-raise this flop-bet, especially this deep - but sometimes it feels better not to - and button obliged... now, I figure that fish will find it hard to fold to a push -but might. Then again, another card gives him time to think. Button is folding anything but 55/QQ cos his stack is on the line - and I think 55 will call no matter what I do.

Thoughts on the line?

Full Tilt No-Limit Hold'em, $0.50 BB (9 handed) Full-Tilt Converter Tool from FlopTurnRiver.com (Format: FlopTurnRiver)

BB ($98.40)
UTG ($66.20)
UTG+1 ($214.55)
MP1 ($89.30)
MP2 ($25)
Hero ($99.25)
CO ($50)
Button ($52.90)
SB ($97.75)

Preflop: Hero is MP3 with 7, 7.
2 folds, MP1 raises to $1.5, 1 fold, Hero calls $1.50, 1 fold, Button calls $1.50, 2 folds.

Flop: ($5.25) Q, 5, 7 (3 players)
MP1 bets $2.5, Hero calls $2.50, Button raises to $10, MP1 raises to $43, Hero raises to $100.25 (All-In),

not raising this flop vs. a villain who is likely to stack off 180BBs deep w/ top pair is burning money.

It depends on how sure you are that button will bet and trap MP1 in the middle.

After he puts half the stack in the middle there ain't much to wait for anymore.

Generally I just put in the first raise because otherwise it will be difficult to play a big pot and/or raising later in the hand represents more strength than just poping the flop.