You should respond to he SJPN pleading guilty, but requesting an appearance in court (I think that's usually the second of the three options on the SJPN). You can then present your "Special Reasons" argument in court.
Bear in mind that the "Special Reasons" must be associated with he offence itself and not your personal circumstances. So the argument would be about the error in timing of the temporary policy and the short time involved between then and you driving.
If the court rejects your SR argument and yo consequently face a "totting up" ban, you can go on to present an "Exceptional Hardship" plea. The court can reduce the mandatory six month ban (and if they do, it's usually to impose no ban at all) if you can show that you or others will face Exceptional Hardship if you are banned. he hardship has to be as it says - exceptional. That is over and above that which anyone might face when they are disqualified. Magistrates have this guidance to help them when considering such a plea:
When considering whether there are grounds to reduce or avoid a totting up disqualification the court should have regard to the following:
It is for the offender to prove to the civil standard of proof that such grounds exist. Other than very exceptionally, this will require evidence from the offender, and where such evidence is given, it must be sworn.
Where it is asserted that hardship would be caused, the court must be satisfied that it is not merely inconvenience, or hardship, but exceptional hardship for which the court must have evidence;
Almost every disqualification entails hardship for the person disqualified and their immediate family. This is part of the deterrent objective of the provisions combined with the preventative effect of the order not to drive.
If a motorist continues to offend after becoming aware of the risk to their licence of further penalty points, the court can take this circumstance into account.
Courts should be cautious before accepting assertions of exceptional hardship without evidence that alternatives (including alternative means of transport) for avoiding exceptional hardship are not viable;
Loss of employment will be an inevitable consequence of a driving ban for many people. Evidence that loss of employment would follow from disqualification is not in itself sufficient to demonstrate exceptional hardship; whether or not it does will depend on the circumstances of the offender and the consequences of that loss of employment on the offender and/or others.