This is the classic usage of neither/nor:
I would neither hide nor run away.
But is the following construction grammatical? (More than two choices, no neither)
I wasn't going to play dead.
I wasn't going to hide.
Nor was I going to run away.
Although the classic rule is to use neither and nor together, Grammar Girl writes:
In your case, you have three options. From the above, it is correct that you don't need to use neither. However, in the same article Grammar Girl writes:
So taking your list as even a single sentence, I think you need to repeat nor. So you could write (note grammar change in the second sentence):
Where the preceding clause or the preceding sentence is already in the negative, as opposed to a positive one following neither, it is logical to equate it with a neither+[positive]:
neither+[positive] ... nor
[negative] ... nor
I don't know of a proper grammatical explanation of this, though.
Nor can be used without neither, as in the following sentences: