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Struggling with AK pf and on missed flops
Hey guys... a couple hands from today that highlight a much more general difficulty that I've been having with playing AK when I miss the board, I feel like I'm butchering it pretty much every time and my confidence is just totally gone about these spots.
Villain in this hand was 34/29 over 122 hands... relevant history he had fired 2 barrels on a Jxx 2 hearts board and folded to my turn raise when the Qh hit. Had also seen him check back a river with the near nuts after firing 2 on a dry board.
$0.02/$0.05 No Limit Holdem
5 Players
Stacks:
UTG ($6)
CO ($5.07)
Hero ($6.23)
SB ($6.25)
BB ($4.93)
Pre-Flop: ($0.07, 5 players) Hero is BTN 
1 fold, CO raises to $0.15, Hero raises to $0.60, 2 folds, CO calls $0.45
Flop: ($1.27, 2 players)
CO checks, Hero bets $0.80, CO raises to $2.25, $1.45 to Hero ($4.83)?
Flop looks like a fold to me, only other option would be a shove which seems to suck... not many draws he could be doing this with that are in his pf range for flatting 3bets, which leaves him basically with 88-JJ/QQ and some indefinite amount of air... without reads that he's messing around in these spots though no way I can put him on enough air here to justify a shove right?
The math for a shove would be... I have 22% when called against a fairly pessimistic calling range of 88-QQ only... so if x is the % he calls ev would be
EV = x((0.22*5.07) + (0.78*-5.07)) + 1-x(4.32)
Breakeven point there is him calling 60.3%... so he needs to have 40% air here for a shove to be good which means a shove isn't looking too good, so it looks like just fold flop.
Anyways on to hand #2...
Villain here was 26/26 over 21 hands, no significant reads.
$0.02/$0.05 No Limit Holdem
6 Players
Stacks:
UTG ($5.13)
UTG+1 ($4.98)
CO ($5.07)
BTN ($5.77)
Hero ($5.89)
BB ($7.44)
Pre-Flop: ($0.07, 6 players) Hero is SB 
1 fold, UTG+1 raises to $0.15, 2 folds, Hero raises to $0.60, 1 fold, UTG+1 raises to $1.10, Hero calls $0.50
Flop: ($2.25, 2 players)
Hero bets $1.40, UTG+1 raises to $3.88, $2.48 to Hero ($3.39)?
Flop also seems like a fold here... his raising range again has me crushed, that seems pretty obvious. His preflop 4bet kinda tilted me I just never know what to do with AK here in those spots, I hate folding and calling puts me in ugly flop spots but it seems like a shove has little FE...
Anyways all of the above is more just me asking what I should be looking at in these spots. I tend to get lost a lot of the time, and I'm wondering what questions I should be asking myself in these spots pf and then on the flop given various textures of missed flops, villain tendencies, and in position vs OOP that would help me get on the right track towards being able to figure these out better for myself. Any insight you guys can offer about how you handle them would be much appreciated. Thanks!
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