Quote from rallymode:
Magnitude notwithstanding, unless you have a fair estimation of when the outlier may occur, there is no way to tell which puts are preferable. With regards to your backspreads, buying dgamma is only preferable if the move comes soon enough before your gammas have bled out. Substituting gamma for dgamma has a cost. The further out you go, the faster your gammas dwindle so you are back to square 1 - knowing when the event will occur.
Since you don't know the magnitude of the decline nor the time frame, i'd make sure i am long enough gamma or vols into the risk hole. The least amount that is necessary to satisfy VaR comfort levels.