rush, nl10 - AKs, late positions

Full Tilt, $0.05/$0.10 No Limit Hold'em Cash, Rush, 6 Players

BB: $13.51 (135.1 bb)
UTG: $6.48 (64.8 bb)
MP: $8.85 (88.5 bb)
Hero (CO): $16.30 (163 bb)
BTN: $16.88 (168.8 bb)
SB: $10 (100 bb)

Preflop: Hero is CO with A K
2 folds, Hero raises to $0.30, BTN raises to $0.90, 2 folds, Hero raises to $2.35, BTN calls $1.45

Flop: ($4.85) 6 K 8 (2 players)
Hero bets $2.50, BTN calls $2.50

Turn: ($9.85) 2 (2 players)
Hero bets $5, BTN folds

Info on villain:

As we see our friends knows something about 3beting. However might be sample issues.

There are couple of problems in this hand.
1) I dont like calling 3bets OOP;
2) Our stack sizes indicates that gambling here is a bad idea.

So how should i proceed here? Given our villain tendencies i could call OOP and play more like fit/fold poker?

What about checking turn to let him bluff?