2NL 6 max - 3/4b spot with AK

Opp is 25/17/2AF/23%3b over 52 hands (he 3b 3 hands out of 13 where he had a chance to)

I stacked off with him in H1 below and won. I well noted that he called the 3b OOP with a rather marginal holding (he had no reason to think at that stage that I was 3b-bluffing).

H1 (only provided as a read for H2, so results are relevant here):

$0.01/$0.02 No Limit Holdem
iPoker
5 Players
Hand Conversion Powered by weaktight.com

Stacks:
UTG ($4.65)
CO ($2.30)
BTN ($1.97)
SB ($2.11)
Hero ($2)

Pre-Flop: ($0.03, 5 players) Hero is BB
UTG raises to $0.07, 2 folds, SB calls $0.06, Hero raises to $0.28, UTG calls $0.21, SB folds

Flop: ($0.61, 2 players)
Hero bets $0.31, UTG raises to $1.56, Hero goes all-in $1.41, UTG calls $0.16

Turn: ($4.05, 2 players, 1 all-in)

River: ($4.05, 2 players, 1 all-in)

Final Pot: $4.05
Hero shows

UTG shows


Hero wins $3.80 (net +$1.80)

UTG lost $2
SB lost $0.08


A few hands later comes H2. My question here is whether to 4b to something like $0.8 or to just shove over. My concern with the 4b to $0.8 is if he flats it and I brick the flop. Also with the dynamic from the hand before, I think he is likely to call with some of his worse dominated hands or lay down some of his smaller PP which are a slight favorite in an all-in. Is shoving OK here? If not and we 4b and he calls, what's the plan for the flop?

His range for 3b (I gave him some Axs as bluffs given his high 3b% and the dynamic of the previous hand): 77+,A7s+,KQs,AJo+
His range for calling a 4b or the shove are the same imo, probably 99+,Ajs+,AQo+ and he may well call wider than that because of dynamics.

H2

$0.01/$0.02 No Limit Holdem
iPoker
5 Players
Hand Conversion Powered by weaktight.com

Stacks:
Hero ($3.79)
CO ($2.58)
BTN ($2.29)
SB ($1.02)
BB ($2.04)

Pre-Flop: ($0.03, 5 players) Hero is UTG
Hero raises to $0.08, CO raises to $0.27, 3 folds, $0.19 to Hero ($3.71)?