[10NL] AQs...Squeezed 3bet pot

Villain is 27/24/15 (3bet, 2/13) over small sample (34 hands).

PokerStars - $0.10 NL (6 max) - Holdem - 6 players
Hand converted by PokerTracker 4

SB: $11.56
BB: $4.00
UTG: $4.82
MP: $10.15
CO: $10.77
Hero (BTN): $11.40

SB posts SB $0.05, BB posts BB $0.10

Pre Flop: (pot: $0.15) Hero has Q A

fold, fold, CO raises to $0.30, Hero calls $0.30, SB raises to $1.30, fold, fold, Hero calls $1.00

Flop: ($3.00, 2 players) 4 A 7
SB checks, Hero bets $1.70, SB raises to $3.40, Hero calls $1.70

Turn: ($9.80, 2 players) J
SB bets $6.86 and is all-in, Hero ???

Not really sure what to make of villain's line here. 3bet squeeze, followed by a c/min raise and then shove turn.

If I give villain a range of; AA, JJ, 77, 44, AKs, AJs, AdTd, AsTs, Ad9d, As9s, Ad8d, As8s, A7s, Ad6d, As6s, Ad5d, As5s, A4s, Ad3d, As3s, Ad2d, As2s, AKo, AJo then I only have 19% equity vs that range, and if my maths is right I need 29%.

Text results appended to pokerstove.txt

1,496 games 0.000 secs 299,200 games/sec

Board: Ad 4d 7s Js
Dead:

equity win tie pots won pots tied
Hand 0: 19.251% 19.25% 00.00% 288 0.00 { AcQc }
Hand 1: 80.749% 80.75% 00.00% 1208 0.00 { AA, JJ, 77, 44, AKs, AJs, AdTd, AsTs, Ad9d, As9s, Ad8d, As8s, A7s, Ad6d, As6s, Ad5d, As5s, A4s, Ad3d, As3s, Ad2d, As2s, AKo, AJo }

If I give villain a couple of semi bluffing hands, KQdd, KQss, 65s, 65o, my equity increases to 40% which makes it an easy call.

Thoughts?