$0.5 9-man turbo 3-bet shove against blind stealing during the bubble with KQs

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$0.5 9-man turbo 3-bet shove against blind stealing during the bubble with KQs

Blinds: t150/t300 (4 Players) BB: 2,107 (Hero)
CO: 895
BN: 7,854
SB: 2,644
Preflop (450) Hero is BB with Q K
CO folds, BN raises to 600, SB folds, Hero raises to 2,082 and is all in, BN calls 1,482
Flop (4,414) J J 7
Turn (4,414) J J 7 6
River (4,414) J J 7 6 2
Final Pot BB lost and shows a pair of Jacks.
BN wins and shows a pair of Jacks.
BN wins 4,414

During the bubble (payout structure is standard 5/3/2), villain is the biggest stack 26BB in the BTN and Hero has 7BB in BB. He was actively blind stealing during the bubble and his overall stats was VP51/PR22/3B 9 (37 hands, so not really significantly useful, but pretty lag I'd say). What is the range of my 3bet shove here?
I think KQs would be the bottom of my 3-bet shove range here (approximately 8-10%). Is this range too wide?
ICM gives 3.5% +$EV shoving range against villain's 16% BTN stealing and 8% calling the shove range.
One thing that troubles me here is that I expected villain to fold more than 50% of his stealing range here since he might be open wider than 16%. Is this reasoning/assumption correct?
Thank you all for your input in advance

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