NL10 - CO with AKo

I had a small sample of 72 hands on this guy 40/38/22.2 (VPIP/PFR/3Bet)

So I choose to 4Bet here, and he calls. At this point im completely lost at what his range may be, or what action to take.
I did think TT+, judging by the little sample I have, he'd probably just push them pre?

Should I have Semi-bluffed the turn with my flushdraw/overcards?

BB: $13.17 (131.7 bb)
UTG: $12.24 (122.4 bb)
MP: $15.49 (154.9 bb)
Hero (CO): $10.10 (101 bb)
BTN: $10 (100 bb)
SB: $4.40 (44 bb)

Preflop: Hero is CO with K A
2 folds, Hero raises to $0.35, BTN calls $0.35, SB folds, BB raises to $1.23, Hero raises to $3, BTN folds, BB calls $1.77

Flop: ($6.40) Q 6 7 (2 players)
BB checks, Hero checks

Turn: ($6.40) 5 (2 players)
BB checks, Hero checks

River: ($6.40) 6 (2 players)
BB checks, Hero checks

Results: $6.40 pot ($0.29 rake)