Set of aces in 3bet pot on dangerous board

PokerStars - $0.05 NL (6 max) - Holdem - 6 players
Hand converted by PokerTracker 4

MP: 54.6 BB (VPIP: 37.04, PFR: 22.22, 3Bet Preflop: 23.08, Hands: 29)
CO: 163 BB (VPIP: 43.48, PFR: 17.39, 3Bet Preflop: 10.00, Hands: 23)
BTN: 183.2 BB (VPIP: 20.69, PFR: 17.24, 3Bet Preflop: 15.38, Hands: 29)
SB: 100 BB (VPIP: 18.52, PFR: 14.81, 3Bet Preflop: 0.00, Hands: 29)
Hero (BB): 100 BB
UTG: 97 BB (VPIP: 32.14, PFR: 25.00, 3Bet Preflop: 15.38, Hands: 29)

SB posts SB 0.4 BB, Hero posts BB 1 BB

Pre Flop: (pot: 1.4 BB) Hero has A♦ A♠

fold, fold, CO calls 1 BB, BTN raises to 4 BB, fold, Hero raises to 14 BB, fold, BTN calls 10 BB

Not much to say I think.
BU does not look like a complete fish so he may have a wide isolation range. I know nothing of his calling range though.

Flop: (29.4 BB, 2 players) Q♣ A♣ 8♣
Hero bets 18.2 BB, BTN calls 18.2 BB

The rake is included in the flop pot, this is probably a 2/3 pot bet. I normally do 1/2 in 3bet pots but I don't want to give him a profitable call with KcJx. If he raises I shove.

Turn: (65.8 BB, 2 players) K♥

I should have bet a bit more OTF because I now have slightly more than the pot (I have 67.8 BB).
My choices are check/fold, check/call and shove. I can't really tell what's best against an unknown (probably bad) player.
On a total blank I would probably shove and hope for a call from QQ / 88 /AQ / AxKc or even a draw.
If I cared about being balanced I'd probably have to shove here, but I don't think my opponent is balanced so I think it's better to limit variance, play it safe and just shove on blanks and check / fold on K, J and T

This being said if anybody is interested we can also talk about GTO, it seems doable to be quite balanced in this spot.