200NL: AK OOP against station

$1/$2 No Limit Holdem
9 players
Converted at weaktight.com

Stacks:
UTG ($100.00)
UTG+1 ($286.50)
MP1 ($172.85)
Hero ($208.10)
MP3 ($279.00)
CO ($80.65)
BTN ($31.00)
SB ($263.55)
BB ($340.25)

Pre-flop: ($3, 9 players) Hero is MP2 :kc: :ad:
3 folds, Hero raises to $8, 1 fold, CO calls $8, 3 folds

Flop: :2d: :6h: :7d: ($19, 2 players)
Hero ???

villain was 38/4/4.
I always have problems playing this hand on this type of flops against stations. I believe I'm ahead of his range on the flop, so should a C-bet here be good? What if villain call FLOP and tries to float us on TURN? It still should be OK and I believe we should c/f turn if we don't hit right?

stations usually have passive tendencies, so i check down with showdown value.

im tempted to bet because we have backdraw draws otherwise id check probably.

I check it. If the turn brings a diamond, I bet. If I hit, I bet... otherwise check down.

If he bets at you on flop C/Call to float flop and bet turn no matter what shows.

I would cbet and think about calling a shove, shove most turns myself.