SCOOP 109 Range construction with AK

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SCOOP 109 Range construction with AK

Blinds: t800/t1,600 (9 Players) MP+2: 29,511
CO: 61,726
BN: 73,970
SB: 200,340
BB: 57,787
UTG: 90,151 (Hero)
UTG+1: 44,355
MP: 172,725
MP+1: 143,855
Villain is a good regular who has not done anything out of line thus far though is definitely capable of recognising that this is a good spot to 3bet light given how strong it looks.
Preflop (2,400) Hero is UTG with A K
Hero raises to 3,454, UTG+1 raises to 8,800, 7 folds, Hero raises to 17,146, UTG+1 calls 8,346
Even at this stack depth given generally how deep the average stack is at the table I think villain can definitely be light in this spot but I am not convinced I should have a 4betting range in this spot that isnt all in. At the time I thought I may end up inducing lighter shoves by clicking it back but given the relative positions and stack sizes I don't know how likely this is. Based on these stack sizes would most people just fold or shove with our range as a standard?
Flop (38,492) 4 7 5
Hero checks, UTG+1 bets 27,009 and is all in, Hero folds
Now on the flop with less than pot behind I think all three decisions: shoving, chk call and chk fold are fairly close though I think I like shoving the least as his decision is easier and he can just call all hands with enough equity and fold with worse. Do you think there is any merit to introducing a really small cbet range in this situation allowing us to bluff occasionally with hands that dont want to get all in or is this just too difficult to try and balance?
Final Pot UTG+1 wins 38,492

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