This AK should be in our checking range on the flop. With as loose as this guy is, c-betting is probably close in terms of absolute EV, but checking is so sweet because of all of the implied odds we have on hitting an A or K turn with such a loose/passive opponent. Checking is definitely much better than c-betting here.

Your range is probably something like {AQo+, AJs+, KQs, 55+} or so, and of that you'll be value betting *at least* as low as 99 against this guy (maybe even 66). That's something like 45-51 combinations you'll be value betting, then probably "semi-bluffing" the AsKs, AsQs, AsJs, and KsQs (I put semi-bluffing in quotes since we're slightly ahead of most 1-pair hands), and that looks about right for exploiting this player pretty hard in this situation.

I'm not sure why we're calling the turn since we probably wouldn't have the equity to call if it was an all-in and there's no way we're going to benefit from future betting.