If you're the preflop aggressor, always continue with a c-bet, no matter what the flop is(depending on how many players are in the hand and stacks of course). You don't want to accidentally commit yourself postflop with a c-bet, but if that's the case, you should've just jammed pre.
After the flop if there is no chance for a flush or straight I fold. Can't be fishing. More than likely someone else has the a or k plus they hit the kicker. That does not take into consideration a queen, jack, ten, or nine was not hit on flop. Even worse the other person has pocket 6s or 8s.
Bad flop like alot of flops i played with AK's. More from the times im the one who rises on the preflop, but i also have in mind the position im on the current table. Sometimes i continue with my bets after the flop, even when i have nothing but high card till the moment. I pay attention also who is paying my rises, im a little more calm when the limp player or the aggressor who calls anything, pays my rises.
They are alot of situations that could happen, but i rise the most when im in back position.