$4 NLHE Full Ring: Shallow table 3bet pot with aces

Like 20 hands on villain stats reading 9/9/inf

Revolution Gaming Network - $0.04 NL (9 max) - Holdem - 9 players
Hand converted by PokerTracker 3

MP: $2.00
MP+1: $1.16
LP: $2.00
Hero (CO): $2.55
BTN: $2.00
SB: $4.04
BB: $1.29
UTG: $3.01
UTG+1: $3.39

SB posts SB $0.02, BB posts BB $0.04

Pre Flop: ($0.06) Hero has A:club: A:spade:

fold, fold, MP raises to $0.12, fold, fold, Hero raises to $0.40, fold, fold, fold, MP calls $0.28

Flop: ($0.86, 2 players) Q:diamond: 3:diamond: K:heart:
MP checks, Hero bets $0.52, MP raises to $1.60 and is all-in

Playing shallow cuz I have 4buy ins in my account from placing in a CC freeroll. I 3bet pre for value obv, once I get check raised I'm hating life as 10's and JJ are never doing that. Now I'm narrowing him down to QQ and AK hands most likely AK of diamonds. If I run it in pokerstove vs QQ\AK hands I'm 60% to win. If I stove it vs QQ\AK diamonds I'm like 20% to win.

Fold or call and hope I'm good which is unlikely? Can we play the flop any different?

Don't fold.

Yeah I'm reading PNLHE and in situations like this I'm suppose to snap this with such small stacks but then my brain starts trying to find reasons not to. Don't know why I asked bout other flop lines.

call i wouldnt back down

Yeah I mean you only need to be good 27% to call profitably and you always are because he always has AK in his range (and it's a $2 table so he can always have other crap too even though he's obviously tight).