I think the main issue here is duty of care. I have faced this situation before, especially with a U/S APU in the summer down in the Mediterranean.
With all due respect to company procedures and policies, I would be inclined to think outside the box in this situation. As some of the guys and gals have pointed out the Captain of the aircraft has a duty of care to the passengers and crew. Due to the fact this is probably a situation that you don't face very often and the lengths we go to burn as little fuel as possible through flying as efficiently as possible I would be inclined to chuck on the extra gas and remote hold with 1 engine running which I would think would be completely justified.
A few PAs in the cabin and a little extra petrol keeps the customers happy
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