No, you can't salvage the fruits that have it, just remove them from the vines.
But as long as you have both male and female blossoms on your squash plants the insects will do the pollinating as they normally do and the next set of squash will probably be OK.
The same stresses that induce BER in tomatoes are the ones that do it for other crops including your zukes, and similar to the situation with tomatoes, as those stresses disappear with time the BER will go away.
Next thing I'll read here is that you'll be posting that you have too many zukes.
