Stats are really important here. Against fish, you're just going to barrel off. Good players won't peel hands like AK as often out of position, and so we want to induce bluffs against hands like that.
Being 150 bb's deep changes the hand a bit. When you 3-bet, you want to deny odds
to set-mine, so to get in that ballpark, I'd 3-bet to $0.60. That would offer your opponent ~11:1 implied instead of 14. And if they're fishy, that's all the more reason to make it big. If they have reggy stats, then a standard c-bet is probably fine, you just need to play the hand trying to keep from getting all your chips in.
I'm fine checking the turn against a guy with solid stats, but against a fish, I just bet/bet/check I think.