AK - i folded the flop and wondered why.

MP2 is some friday night deadwood - playing every ace so im not worried.
BTN has been relatively quiet but i still playing too many hands.
This whole spot sucks, is folding the best play or should i be thinking about committing/calling etc.

Fold>raise>call??

No-Limit Hold'em, $0.50 BB (7 handed) - Hold'em Manager Converter Tool from FlopTurnRiver.com

MP2 ($44.05)
CO ($95.75)
Button ($139.10)
SB ($36.55)
BB ($50)
UTG ($63.55)
Hero (MP1) ($50.75)

Preflop: Hero is MP1 with K, A
1 fold, Hero bets $2, MP2 calls $2, 1 fold, Button calls $2, 2 folds

Flop: ($6.75) 9, J, A (3 players)
Hero bets $5.50, MP2 raises $11, Button calls $11, Hero?? (would be shoving his chips in if this were live!)

i can't ever fold here, leak?

call>raise=fold seems about right.

I'd like to know some more about villains though, especially stuff like fold-to-cbet/Aggression Frequencies and general stats that allow me to slot them into some sort of profile

Really, button can have QT/8T/Ax/weak FDs/almost anything here. MP2 depends so much on stuff we don't know, but if you're not worried about his raise then how do you fold?

Im looking at BTNs range - sets/Top two/Flush draws (possibly AQ/AK too?)

If i raise to try and put him on a range - hes only committing when im beat - and any sort of raise from me commits me to the pot.

Calling leaves me playing blind OOP with a one pair hand -0 that spot just sucks - i dont believe calling is an option - all decisions on later streets are difficult and will be for lots of money

Folding is easy - but if i feel i have the ebst hand here then its bad. I also think i will find better spots to commit lots of chips, here its at best 50/50 IMO

Worst bit- no HUD stats (but to help MP2 is 50/14 over 30 hands and BTN is 20/10 over about 150)

Hard to fold on the flop for sure,but there's a lot of scare cards on the turn that the options of calling is kinda spewy,and we defitenely cant go to showdown easily or go for value.

Over 150 hands-20/10 stats is pretty nice,but seriously-BTN Calling the min raise on the flop?What can he have that we beat or get 50/50 with?