I will play a few strokes with my wrong arm. I choose these carefully, and play position against ending up is said position. Howver, give such a position, I will shoot it.
I will use a bridge first, shoot behind the back second, and only when all else fails resort to shooting wrong handed.
In shooting it, I will avoid to the extent possible, using english, hitting the CB hard, or trying for exotic position. Its a get in, do it, and get out play. My only stroke with the other arm is slow and as smooth as possible.