Push flop to avoid such situations) you have 2 overcards + gutshot + bdor flush = automatic push if your stack:pot ratio is 1.5:1 or lower (i would push even with slightly bigger ratio, especially against some weird short stack)))
Update: some short explanation on AK + gutshot hands
The reason why we are willing to finish this hand on the flop is our equity and fold equity.
For instance, against fairly tight range 22-99, ATs+, KJs+, ATo+, KJo+ we have 46% of equity. Basically we will have > then 45% equity against almost any possible range... therefore, we just push to maximize our fold equity and win the pot right there and if it doesn`t work out we still have almost 50% chance to win...
Lets calculate EV for the worst case scenario:
- pot 8 BB (actual pot is 9,5BB, but blinds are assumed raked )
- we assume he folds in 50% of the time and calls with a range TT, 33, AJs-ATs, KJs+, AJo-ATo, KJo+ (38% equity against this range)
EV=0.5*(8BB) + 0.5*(0.32*(24BB) - 0.68*(16BB)) = 4BB + 0.5*(7.68BB - 10.88BB)= +2.36 BB
We can modify the range and assumtions, but its clearly +EV)
I would laso call it on the turn, because of the pot odds... but again, just to avoid it - push flop)