Granted there might not be much that can be done for deleted answers (a question for the submission of answers to deleted questions perhaps?).
However could it be made possible to submit answers to a question if the answer form was opened prior to closing?
Perhaps it is a flaw that I have but I personally have a tendency to answer questions in length.
Unfortunately it has not been the first time (and not just on this SE site) that I have found that the question has either been deleted or closed by the time I wish to submit my answer.
To say that it is frustrating to spend over an hour on an answer only to see it go to the save bin would be a mild understatement.
I am fairly sure that other users of far better reputation than myself (particularly those who place time and effort into their answers) may identify with this issue.
Source - Dimensions of the World